Question

3x+10y=13 4(-2y+x)-9x=13

Answer 1

Answer:

$x=-9$

$y=4$

Step-by-step explanation:

$3x+10y=13$ ← Equation 1

$4(-2y+x)-9x=13$

By simplifying the above equation we get,

$-8y+=4x-9x=13$ (Simplifying the brackets)

$-8y-5x=13$ (By subtracting $-9x$ from $+4x$) ← Equation 2

Multiply Equation 1 by 5 and Equation 2 by 3 and add them together.

Equation 1 multiplied by 5 will give,

$15x+50y=65$

Equation 2 multiplied by 3 will give,

$-24y-15x=39$

Add those together,

$15x+50y-24y-15x=65+39$

$26y=104$ (After simplifying $x$ values)

Therefor $y=4$

By substituting $y=4$ to Equation 1 we get,

$3x+10*4=13$$3x+40=13\\3x=-27\\x=-9$

Therefor we can say,

$x=-9$

$y=4$