How do you solve the system y = 5x and 2x + 3y = 34?

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Answer 1 · 2016-05-24T15:17:03

The solution for the system of equations is:
$color(green)(x=2$
$color(green)(y = 10$

$color(blue)(y = 5x$ ...................equation $(1)$

$2x + 3y = 34$ ......equation $(2)$

Solving by substitution:

Substituting equation $1$ in equation $2:$

$2x + 3y = 34$

$2x + 3 xx color(blue)(5x) = 34$

$2x + 15x = 34$

$17x = 34$

$x = 34/17$

$color(green)(x=2$

Finding $y$ from equation $1$ using the value of $x:$

$y = 5x$

$y = 5 xx 2$

$color(green)(y = 10$