Answer:
[tex]x = 14[/tex]
[tex]y = -3[/tex]
Step-by-step explanation:
Given
[tex]2x + 8y =4[/tex]
[tex]x = -3y + 5[/tex]
Required
Solve
Substitute [tex]x = -3y + 5[/tex] in [tex]2x + 8y =4[/tex]
[tex]2(-3y + 5) + 8y =4[/tex]
Open bracket
[tex]-6y + 10 + 8y =4[/tex]
Collect like terms
[tex]-6y + 8y =4-10[/tex]
[tex]2y =-6[/tex]
Divide both sides by 2
[tex]y = -3[/tex]
Substitute [tex]y = -3[/tex] in [tex]x = -3y + 5[/tex]
[tex]x = -3 * -3 + 5[/tex]
[tex]x = 9+ 5[/tex]
[tex]x = 14[/tex]
