Question

solve by elimination x-5y=35 and 3x-6y=51

Answer 1

Answer: x=5 y=-6

(5,-6)

Step-by-step explanation:

Solve by elimination

$\begin{bmatrix}x-5y=35\\ 3x-6y=51\end{bmatrix}$

multiply x-5y=35 by 3

= 3x-15y=105

$\begin{bmatrix}3x-15y=105\\ 3x-6y=51\end{bmatrix}$

$3x-6y=51$

-$\underline{3x-15y=105}$

$9y=-54$

divide 9 on both sides

y= -6

Now solve for x

you must plug in -6 for y in either equations

i plugged in -6 for y in 3x-15y=105

$3x-15\left(-6\right)=105$

$3x+15\cdot \:6=105$

$15\cdot \:6=90$

$3x+90=105$

subtract 90 on both sides

$3x=15$

$\frac{3x}{3}=\frac{15}{3}$

$x=5$

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Answer 2

Answer:

x=5

y= -6

Step-by-step explanation:

equ= equation

x - 5y= 35 ----- equ (1)

3x - 6y= 51 ----- equ (2)

Multiply equ (1) by 3

3x - 15y= 105 ----- equ(3)

3x - 6y= 51 ----- equ(4)

Subtract equ(4) from equ(3)

-9y= 54

y= -6

Substitute value of y into equ(1)

x - 5 x -6= 35 (the second x here means multiplication)

x + 30= 35

x= 5