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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