Question 1155611
Solve the system of equations using the substitution method and state your solution.
x− 3y = −11
4x + 5y = −10
<pre>x − 3y = − 11_____x = - 11 + 3y ------ eq (i)
4x + 5y = − 10 ------ eq (ii)
4(- 11 + 3y) + 5y = - 10 -------- Substituting - 11 + 3y for x in eq (ii)
- 44 + 12y + 5y = - 10
17y = 34
{{{highlight_green(matrix(1,5, y, "=", 34/17, "=", 2))}}}
Now, substitute 2 for y in eq (i) to find the value of x.