How to solve the simultaneous equation 3x+7y=26 4x+5y=13

I found:

x=-3

y=5

Explanation: I would multiply the first equation by −4 and the second by 3 and add together the two equations (in columns):

{−12x−28y=−104

{12x+15y=39

0−13y=−65

So: y=65/13=5

Substitute back this value into the first equation:

3x+7⋅5=26

3x=26−35=−9

x=−9/3=−3

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2

a

step-by-step explanation: