How do you solve 6(x-3)+10=2(4x-5) step by step

x = 1

Step-by-step explanation:

1. Expand.

6x − 18 + 10 = 8x − 10

2. Simplify 6x − 18 + 10 to 6x − 8.

6x − 8 = 8x − 10

3. Subtract 6x from both sides.

−8 = 8x − 10 − 6x

4. Simplify 8x − 10 − 6x to 2x − 10.

−8 = 2x − 10

5. Add 10 to both sides.

−8 + 10 = 2x

6. Simplify −8 + 10 to 2.

2 = 2x

7. Divide both sides by 2.

1 = x

8. Switch sides.

x = 1

(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