Question

for the following system use the second equation to make a substitution for the y in the first equation 2x + y=6 and y=3x+4

Answer 1

(0.4, 5.2)

Explanation:

Wherever you see a y in the first equation, put in 3x + 4

2x + 3x + 4 = 6 Combine like terms

5x + 4 = 6 Subtract 4 from both sides

5x + 4 - 4 = 6 - 4 Combine like terms.

5x = 2 Divide both sides by 5

5x/5 = 2/5 Do the division

x = 0.4

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Solve for y

y = 3x + 4

y = 3*0.4 + 4

y = 1.2 + 4

y = 5.2

Solution

(0.4 , 5.2)