Question

2x +2y =10 5x -2=4

What is the solution of the system of equations?
A (3,2)
B (2,3)
C (-2,-7)
D(2,7)​

Answer 1

Answer is B. ( 2, 3 )

Step by step
Given

2x + 2y = 10
5x -2y = 4

We can use elimination to solve
We see +2y and -2y will cancel each other out and we can then add the equations together and solve for x

2x + 2y = 10
5x -2y = 4

7x = 14
Divide both sides by 7 to solve for x

7/7 x = 14/7

x = 2

Substitute the value of x = 2 into the first equation to solve for y

2x + 2y = 10

2(2) + 2y = 10
4 + 2y = 10
Subtract 4 from both sides to isolate y
4 - 4 + 2y = 10 -4
Simplify

2y = 6
Divide both sides by 2 to solve for y
2/2 y = 6/2
y = 3

So x=2, y=3

I graphed it to check and prove it is correct