Question

Which ordered pair is the solution to the system of equations below?

X+3y=7
X+2y=10
A)7/2, 13/4
B)7/2, 17/5
C)-2,3
D)16,-3

Answer 1

To solve the system of equations, we can use the method of substitution. The solution is (16, -3).

Step-by-step explanation:

To find the solution to the system of equations, we can use the method of substitution. We solve one equation for one variable and substitute that expression into the other equation. Let's solve the first equation for x:

x = 7 - 3y

Now substitute this expression for x in the second equation:

7 - 3y + 2y = 10

Combine like terms:

-y = 3

Divide by -1 to solve for y:

y = -3

Now substitute this value of y back into the first equation to find x:

x + 3(-3) = 7

x - 9 = 7

Add 9 to both sides:

x = 16

So the solution to the system of equations is (x, y) = (16, -3).

Answer 2

Hi, this should be correct. Hope this helps :)