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x + 7y = 30\ x + 3y = 14

Question

x + 7y = 30\
x + 3y = 14

Explanation:

Step1: Subtract the two equations

$(x + 7y) - (x + 3y) = 30 - 14$
Simplify: $4y = 16$

Step2: Solve for $y$

$y = \frac{16}{4} = 4$

Step3: Substitute $y=4$ into second equation

$x + 3(4) = 14$
Simplify: $x + 12 = 14$

Step4: Solve for $x$

$x = 14 - 12 = 2$

Answer:

$x=2$, $y=4$