Question

What is the solution for the systems of equations

Use the substitution method to solve.

y=5-3x
5x-4y=-3

Enter your answer in the blanks

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Answer 1

x=1, y=2

Solve the following system:
{y = 5 - 3 x5 x - 4 y = -3
Substitute y = 5 - 3 x into the second equation:
{y = 5 - 3 x5 x - 4 (5 - 3 x) = -3

5 x - 4 (5 - 3 x) = (12 x - 20) + 5 x = 17 x - 20:{y = 5 - 3 x17 x - 20 = -3

In the second equation, look to solve for x:{y = 5 - 3 x17 x - 20 = -3

Add 20 to both sides:{y = 5 - 3 x17 x = 17

Divide both sides by 17:{y = 5 - 3 xx = 1

Substitute x = 1 into the first equation:{y = 2x = 1
Collect results in alphabetical order:Answer: {x = 1 y = 2