how do i solve this equation using the substitution method y=5x-2, 2x+9y=10

Question

working with substitution for algebra 1. solving the system of linear eqautions by substitution. need step by examples an answer.

Answer 1

how do i solve this equation using the substitution
method y=5x-2, 2x+9y=10

In the first equation, you already have y in terms of x.
Substitute that into the place of y in the second equation.

2x + 9(5x-2) = 10
2x + (45x - 18) = 10
2x + 45x - 18 = 10
47x = 10 + 18 = 28
x = 28/47

Now, substitute that value of x into the first equation.

y=5x-2
y = 5(28/47) - 2
y = (140/47) - 2       Note: 2 = 94/47
y = (140/47) - (94/47)
y = 46/47