Question

b. is the pair of x and y values that diego found actually a solution to the system?
lets check!
4x + 3y = 10

• 4x + 5y = 6

Explanation:

Step1: Identify the solution pair

Assume Diego's solution is $x=1$, $y=2$ (the standard solution to this system)

Step2: Substitute into first equation

Substitute $x=1$, $y=2$ into $4x+3y=10$:
$4(1)+3(2)=4+6=10$, which matches the right-hand side.

Step3: Substitute into second equation

Substitute $x=1$, $y=2$ into $-4x+5y=6$:
$-4(1)+5(2)=-4+10=6$, which matches the right-hand side.

Step4: Verify validity

Since both equations are satisfied, the pair is a solution.

If Diego's solution was different, substitute those values into both equations in the same way: if both equations hold true, it is a solution; if either fails, it is not.

Answer:

Assuming Diego found $x=1$ and $y=2$, this pair is a solution to the system.