Solve the equation 5(x-3) = 11 -3 (x-2)

x = 4

Step-by-step explanation:

5 multiplied by x and 5 multiplied by -3

5x - 15 = 11 -3(x - 2)

-3 multiplied by x and -3 multiplied by -2

5x - 15 = 11 - 3x + 6

Add 15 to both sides

5x = 26 - 3x + 6

Add 3x to both sides

8x = 26 + 6

Add 26 + 6

8x = 32

Divide 32 by 8

x = 4

80%

step-by-step explanation:

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3