The solution is:
x = 5
y = 8
Step-by-step explanation:
Given equations are:
[tex]y=3x-7\ \ \ Eqn\ 1\\2y+4y = 36\ \ \ Eqn\ 2[/tex]
Putting y = 3x-7 in equation 2
[tex]2(3x-7)+4x = 36\\6x-14+4x = 36\\10x-14 = 36\\10x = 36+14\\10x = 50[/tex]
Dividing both sides by 10
[tex]\frac{10x}{10} = \frac{50}{10}\\x = 5[/tex]
Putting x=5 in eqn 1
[tex]y = 3(5)-7\\= 15-7 = 8[/tex]
Hence,
x = 5
y = 8
Keywords: Linear equation, substitution method
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