Answer: B. (2,7)
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Explanation:
Subtract straight down. The x terms subtract to 5x-2x = 3x. The y terms subtract to 3y-3y = 0y = 0, so the y terms go away and are eliminated. The terms on the right hand side subtract to 31-25 = 6.
After all that subtraction, we end up with the equation 3x = 6 which solves to x = 2 after dividing both sides by 3.
Use x = 2 to find the value of y
5x+3y = 31
5(2)+3y = 31
10+3y = 31
3y = 31-10
3y = 21
y = 21/3
y = 7
or
2x+3y = 25
2(2)+3y = 25
4+3y = 25
3y = 25-4
3y = 21
y = 21/3
y = 7
Using either equation has x = 2 lead to y = 7.
Therefore, the solution is (x,y) = (2,7)
If you were to graph the two original equations, then they would intersect at (2,7).
