Question

Find the solution of the system of equations. −5x+5y=-10 6x+5y=1

Answer 1

Okay so first we need to cancel one of the variables out. so multiple the top by 6 and the bottom by 5

-30x+30y=-60
30x+25y=5

cancel out x

30y=-60
25y=5

55y=-55
y=-1

now plug in y into one of the equations and solve for x.

6x+5(-1)=1
6x-5=1
6x=6
x=1

Answer 2

Answer:

Step-by-step explanation:

Since you have

+

5

y

in one equation and

−

5

y

in the other equation, you can add both equations to cancel out the y terms and solve for x.

−

6

x

+

5

x

=

−

x

5

y

−

5

y

=

0

1

+

10

=

11

therefore

−

x

=

11

multiplying both sides by -1:

x

=

−

11

plugging this back into the first equation:

−

6

(

−

11

)

+

5

y

=

1

66

+

5

y

=

1

subtracting 66 from both sides:

5

y

=

−

65

divide both sides by 5:

y

=

−

13

putting the x-values and y-values into one point gives:

(

−

11

,

−

13

)

as the solution