Question

7x+10y=60
7x-2y=240


If (x,y)

satisfies the given system of equations, what is the value of x

?

Answer 1

To find the value of x, we can solve the system of equations by using the method of elimination.

First, let's subtract the second equation from the first equation to eliminate the x terms:

(7x + 10y) - (7x - 2y) = 60 - 240
10y + 2y = -180
12y = -180
y = -180/12
y = -15

Now that we have found the value of y, we can substitute this value back into either of the original equations to find the value of x. Let's substitute y = -15 into the first equation:

7x + 10(-15) = 60
7x - 150 = 60
7x = 210
x = 210/7
x = 30

Therefore, the value of x in the given system of equations is 30.