Question

Y=2x+3
y=3x+1
solve the system of equations using substitution

Answer 1

x= 2 and y= 7

Explanation:

Substitution method involves getting value of one variable from one equation in terms of other variable and putting this in second equation to eliminate and find value of other variable.

Here we have

y=2x + 3

in first equation and putting this in second equation, we get

2x + 3 = 3x + 1 or

2x - 3x = 1 -3 or

-x = -2

i.e.

x = 2

Putting this Vale of x back in first equation, we get

y = 2 × 2 + 3 = 7

Hence we get x = 2 and y = 7.

Answer 2

(2, 7 )

Explanation:

Given the 2 equations

y = 2x + 3 → (1)

y = 3x + 1 → (2)

Substitute y = 3x + 1 into (1)

3x + 1 = 2x + 3 ( subtract 2x from both sides )

x + 1 = 3 ( subtract 1 from both sides )

x = 2

Substitute x = 2 into either of the 2 equations for corresponding value of y

Substituting x = 2 into (1)

y = 2(2) + 3 = 4 + 3 = 7

Solution is (2, 7 )