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Solving Equations with Linear Expressions on One Side and Numbers on the Other Side

Solve for x...

Question

Solve for $x$ and $y$ , if $x + y = 7$ and $2 x + 3 y = 18$ .

x = 3, y = 4

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x = 2, y = 5

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x = 1, y = 6

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x = 4, y = 3

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Solution

The correct option is C $x = 3, y = 4$
$2 x + 3 y = 18$ .......... (1)
$x + y = 7$ ......... (2)
Multiplying equation (2) by 2, we get
$2 x + 2 y = 14$ ........ (3)
Subtracting (3) from (2), we get
$y = 4$
Using this in $x + y = 7$ , we have
$x + 4 = 7$
or $x = 7 - 4 = 3$

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