Question

Solve the simultaneous equations by substitution
x +y=−6
x+5y =−2

Answer 1

1. x+y=−6

Find the x-intercepts.

x-intercept(s):

(−6,0)

Find the y-intercepts.

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y-intercept(s):

(0,−6)

List the intersections.

x-intercept(s):

(−6,0)

y-intercept(s):

(0,−6)

2. To find the x-intercept, substitute in

0 for y and solve for x. To find the y-intercept, substitute in

0 for x and solve for y.

x-intercept(s):

(−2,0)

y-intercept(s):

(0,−2/5)

x+5y=−2

Subtract x from both sides of the equation.

5y=−2−x

Divide each term by 5 and simplify.

y=−2/5−x5

Subtract 5y from both sides of the equation.

x=−2−5y

Explanation:

1st graph is for 1st answer.

2nd graph is for 2nd answer.

Hope it is helpful....

Answer 2

y=1

x=-7

Explanation:

x+y=-6 x=-6-y

x+5y=-2

substitute

(-6-y)+5y=-2

reduce

-6+4y=-2

4y=4

y=1

x=-6-y=-6-1=-7