Use the substitution method to solve the system of equations.
y = 4x
8x + y= 18
a (8
b. (66)
c. (2,8)
d. (2, 2)

The solution set we get is(x,y){(6/4 , 6)}

Step-by-step explanation:

We have the system of equation:

y = 4x        equation 1

8x + y= 18    equation 2

As we see that the first equation has a value of y. Now plug the value of y which is 4x in 2nd equation:

8x+y=18

8x+(4x)=18

12x=18

Divide both sides by 12.

12x/12= 18/12

x= 18/12

x= 6/4

Now plug the value x= 6/4 in equation 1.

y=4x

y=4(6/4)

4 will be cancelled out by 4

y = 6

The solution set we get is(x,y){(6/4 , 6)}

we know that

applying the law of sines

°

so

∠j=18°

∠k=29°

∠l=180-(18+29)=133°

the answer part a) is

the measure of angle k is  ≈29°

part b)  the measure of angle k could also be

(180-29)=151°

so

∠j=18°

∠k=151°

∠l=180-(18+151)=11°

the answer part b) is

the measure of angle k could also be 151°

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