Solve the following pair of linear equations | vedclass

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(C) Given equations are:$1) x + y = 7$$2) 5x + 12y = 7$From equation $(1)$,we can express $x$ in terms of $y$:$x = 7 - y$ $(3)$Substitute equation $(3

Vedclass · Accepted Answer

$(11, -4)$

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(C) Given equations are:$1) x + y = 7$$2) 5x + 12y = 7$From equation $(1)$,we can express $x$ in terms of $y$:$x = 7 - y$ $(3)$Substitute equation $(3)$ into equation $(2)$:$5(7 - y) + 12y = 7$$35 - 5y + 12y = 7$$35 + 7y = 7$$7y = 7 - 35$$7y = -28$$y = -4$Now,substitute $y = -4$ back into equation $(3)$:$x = 7 - (-4)$$x = 7 + 4$$x = 11$Thus,the solution is $(x, y) = (11, -4)$.

Solve the following pair of linear equations by the method of substitution: $x + y = 7$ and $5x + 12y = 7$.

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