1. Solve the system of equations by substitution:
y = x - 2
4x – 3y = 11

x = 5

y = 3

Step-by-step explanation:

y = x - 2

4x - 3y = 11

substitute y in the second equation with x - 2

4x - 3(x - 2) = 11

open the parenthesis

4x - 3x + 6 = 11

x + 6 = 11

subtract 6 from both sides of the equation

x + 6 - 6 = 11 - 6

x = 5

now substitute x for 5 in the original equation.

y = x - 2

y = 5 - 2

y = 3

none.

step-by-step explanation:

m

1

=

5

m1=5

b

=

−

1

b=-1

find the slope and y-intercept of the second equation.

tap for more

m

2

=

0

m2=0

b

=

−

6

b=-6

compare the slopes

m

m of the two equations.

m

1

=

5

,

m

2

=

0

m1=5,m2=0

compare the two slopes in the decimal form. if the slopes are equal, then the lines are parallel. if the slopes are not equal, then the lines are not parallel.

m

1

=

5

,

m

2

=

0

m1=5,m2=0