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 first solve the system of equations.

1. Multiply the second equation by 5 to make the coefficients of x the same:
35x - 10y = 1200

2. Subtract the first equation from the modified second equation to eliminate y:
35x - 10y - 7x - 10y = 1200 - 60
28x = 1140

3. Solve for x:
28x = 1140
x = 1140 / 28
x = 40

Therefore, the value of x is 40.