Respuesta :

nobillionaireNobley
y = 5x + 2 . . . . . . . . . . (1)
3x = -y + 10 . . . . . . . . (2)
3x = -(5x + 2) + 10
3x = -5x - 2 + 10
3x + 5x = -2 + 10
8x = 8
x = 1
y = 5(1) + 2 = 5 + 2 = 7
Solution is (1, 7)
MrRoyal

The solution to the system of equations y = 5x + 23 and x = -y + 10 is (1,7)

How to determine the solution?

The equations are given as:

y = 5x + 2

3x = -y + 10

Substitute y = 5x + 2 in the second equation

3x = -5x - 2 + 10

Collect like terms

3x + 5x = -2 + 10

This gives

8x = 8

Divide

x = 1

Substitute x = 1 in y = 5x + 2

y = 5 * 1 + 2

y = 7

Hence, the solution to the system of equations is (1,7)

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