Question 1030611

Solve the system of equations by using substitution. Express the answer as an ordered pair:
x-5y=2
9x+8=15y
<pre>x - 5y = 2______x = 2 + 5y -------- eq (i)
9x + 8 = 15y -------- eq (ii)
9(2 + 5y) + 8 = 15y --------- Substituting 2 + 5y for x in eq (ii)
18 + 45y + 8= 15y
45y - 15y = - 26
30y = - 26
{{{highlight_green(matrix(1,5, y, "=", (- 26)/30, or, - 13/15)))}}}

{{{x - 5(- 13/15) = 2}}} ------- Substituting {{{- 13/15}}} for y in eq (i)
{{{x + 13/3 = 2}}}
{{{highlight_green(matrix(1,9, x, "=", 2 - 13/3, or, 6/3 - 13/3, or, - 7/3, or, - 2&1/3)))}}}