Question

Help please and thank you i'm horrible at math but please don't take advantage of my stupidity. and its 15 points

Answer 1

The answer is exactly two solutions.

Explanation:

The answer is exactly two solutions because Step: Solve3x+2y=6for x:

3x+2y=6

3x+2y+−2y=6+−2y(Add -2y to both sides)

3x=−2y+6

3x

3

=

−2y+6

3

(Divide both sides by 3)

x=

−2

3

y+2

Step: Substitute

−2

3

y+2forxin4x+5y=15:

4x+5y=15

4( −2 3 y+2)+5y=15

7

3

y+8=15(Simplify both sides of the equation)

7

3

y+8+−8=15+−8(Add -8 to both sides)

7

3

y=7

7

3

y

7

3

=

7

7

3

(Divide both sides by 7/3)

y=3

Step: Substitute3foryinx=

−2

3

y+2:

x=

−2

3

y+2

x=

−2

3

(3)+2

x=0 and y=3

Hope this helped.

x=0(Simplify both sides of the equation)

Answer 2

the answer to the question is one solution
one solution for x
one solution for y

3x + 2y = 6
-4x + 5y = 15

multiply by 4
4(3x + 2y = 6)
multiply by 3
3(-4x + 5y = 15)

12x + 8y = 24
-12x + 15y = 45

23y = 69

y = 3

Replace y with 3
3x + 2(3) = 6

3x + 6 = 6
3x = 0

x = 0

(0,3) one solution