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:
$x = 2$ $color(green)(x=2$
$y = 10$ $color(green)(y = 10$

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

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

Solving by substitution:

Substituting equation $1$ $1$ in equation $2 :$ $2:$

$2 x + 3 y = 34$ $2x + 3y = 34$

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

$2 x + 15 x = 34$ $2x + 15x = 34$

$17 x = 34$ $17x = 34$

$x = \frac{34}{17}$ $x = 34/17$

$x = 2$ $color(green)(x=2$

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

$y = 5 x$ $y = 5x$

$y = 5 \times 2$ $y = 5 xx 2$

$y = 10$ $color(green)(y = 10$