Both equations are already set equal to a constant. Notice that the coefficient of
in the second equation, –1, is the opposite of the coefficient of
in the first equation, 1. We can add the two equations to eliminate
without needing to multiply by a constant.
Now that we have eliminated
we can solve the resulting equation for
Then, we substitute this value for
into one of the original equations and solve for
Using the addition method when multiplication of one equation is required
Solve the given system of equations by the
addition method .
Adding these equations as presented will not eliminate a variable. However, we see that the first equation has
in it and the second equation has
So if we multiply the second equation by
the
x -terms will add to zero.
Now, let’s add them.
For the last step, we substitute
into one of the original equations and solve for
Our solution is the ordered pair
See
[link] . Check the solution in the original second equation.
Using the addition method when multiplication of both equations is required
Solve the given system of equations in two variables by addition.
One equation has
and the other has
The least common multiple is
so we will have to multiply both equations by a constant in order to eliminate one variable. Let’s eliminate
by multiplying the first equation by
and the second equation by
A golfer on a fairway is 70 m away from the green, which sits below the level of the fairway by 20 m. If the golfer hits the ball at an angle of 40° with an initial speed of 20 m/s, how close to the green does she come?
A mouse of mass 200 g falls 100 m down a vertical mine shaft and lands at the bottom with a speed of 8.0 m/s. During its fall, how much work is done on the mouse by air resistance
Chemistry is a branch of science that deals with the study of matter,it composition,it structure and the changes it undergoes
Adjei
please, I'm a physics student and I need help in physics
Adjanou
chemistry could also be understood like the sexual attraction/repulsion of the male and female elements. the reaction varies depending on the energy differences of each given gender. + masculine -female.
Pedro
A ball is thrown straight up.it passes a 2.0m high window 7.50 m off the ground on it path up and takes 1.30 s to go past the window.what was the ball initial velocity
2. A sled plus passenger with total mass 50 kg is pulled 20 m across the snow (0.20) at constant velocity by a force directed 25° above the horizontal. Calculate (a) the work of the applied force, (b) the work of friction, and (c) the total work.
you have been hired as an espert witness in a court case involving an automobile accident. the accident involved car A of mass 1500kg which crashed into stationary car B of mass 1100kg. the driver of car A applied his brakes 15 m before he skidded and crashed into car B. after the collision, car A s
can someone explain to me, an ignorant high school student, why the trend of the graph doesn't follow the fact that the higher frequency a sound wave is, the more power it is, hence, making me think the phons output would follow this general trend?
Nevermind i just realied that the graph is the phons output for a person with normal hearing and not just the phons output of the sound waves power, I should read the entire thing next time
Joseph
Follow up question, does anyone know where I can find a graph that accuretly depicts the actual relative "power" output of sound over its frequency instead of just humans hearing
Joseph
"Generation of electrical energy from sound energy | IEEE Conference Publication | IEEE Xplore" ***ieeexplore.ieee.org/document/7150687?reload=true
A string is 3.00 m long with a mass of 5.00 g. The string is held taut with a tension of 500.00 N applied to the string. A pulse is sent down the string. How long does it take the pulse to travel the 3.00 m of the string?