What is the solution to the system of equations? use the linear combination method.

{3x+y=3

{2x+y=7

enter your answer

(-4,15)

Step-by-step explanation:

Personally I think this works better with substitution, but I'll do it your way.

3x + y = 3

2x + y = 7               Subtract these two equations

x = - 4                      3 - 7 = - 4

3x + y = 3                 Substitute - 4 for x  

3(-4) + y = 3             Combine

-12 + y = 3                Add 12 to both sides

-12 + 12 + y = 3+12  

y = 15

Check

2x + y = 7

2*-4 + 15 = 7

- 8 + 15 = 7

7 = 7

It checks.

a. 1 cup of yellow and 1.75 cups of blue

b. 4 cups of yellow and 7 cups of blue

Step-by-step explanation:

a. We can multiply both sides of this ratio by an number of our choice to get an equivalent ratio. 2:3.5 = 1: 1.75. (We are multiplying by 1/2)

b. 2 : 3.5 = 4 : 7 (We are multiplying by 2)