Question

What does X and Y =?

Answer 1

x = 4, y = -1

Explanation:

Since it states to use substitution to solve the system, we will solve this system of linear equations using substitution.

The first step is to substitute the value of y (3x-13) into the second equation. This yields: 4x+5(3x-13) = 11. After distributing, it simplifies to 4x+15x-65 = 11.

Then, we can combine like terms. This will give us 19x-65 = 11.

After this, we will add 65 to both sides to isolate x. This yields: 19x = 76.

Now, we can divide each side by 19 and find out that x=4.

Since we know the value of x, we can substitute it back into the first equation. y = 3(4) - 13, y = 12-13, y=-1.

Thus, the answer is (4, -1).

Answer 2

x = 4

y = -1

Explanation:

Substitute 3x -13 for y in the second equation

4x + 5(3x - 13) = 11 Distribute the 5

4x + 15x - 65 = 11 Combine like terms

19x - 65 = 11 Add 65 to both sides

19x = 76 Divide both sides by 19

x = 4

Substitute 4 for x in the first equation and solve for y

y = 3x - 13

y = 3(4) - 13

y = 12 - 13

y = -1

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