Solve for x and y: x + y = 3, 4x - 3y = 26 - Vidyadip

Question

Solve for $x$ and $y:$
$x + y = 3,$
$4x - 3y = 26$

✓

Answer

The given equation are:
$x + y = 3 ...(1)$
$4x - 3y = 26 ...(2)$
On multiplying $(1)$ by $3$ and $(2)$ by $1,$ we get:
$3x + 3y = 9 ...(3)$
$4x - 3y = 26 ...(4)$
On adding $(3)$ and $(4),$ we get:
$7x = 35$
$⇒ x = 5$
On substituting the value of $x = 5$ in $(1),$ we get:
$x + y = 3$
$5 + y = 3$
$⇒ y = 3 - 5 = -2$
$\therefore x = 5$ and $y = -2$

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