Question

1.9x=3x-36 Solve for X

2. 9z+10=1-3(5-3z) How many solutions does the equation have?


3.3y+10/4=2y what is the value of Y

4.2x+4=2(x+2) What statement about the equation is true


5.4(z-5) +2 =4z-18 how many solutions does this equation have

Answer 1

1.9 * 3 = 27
3 * 3 = 9
36 - 9 = 27
so x = 3
2. 9z + 10 = 1 - 3(5 - 3z)
9z + 10 = 1 - 15 + 9z
9z + 10 = 9z - 14
9z - 9z = -14 - 10
0 = - 24....incorrect

This equation has no solutions....0 solutions
3. Y=2 that's your answer:
Times it by 4:
3y+10 = 2y*4
3y+10 = 8y

Move the 12y over to the other side:
10 = 8y - 3y
10 = 5y

Divide both sides by 5:
10/5 = 5y/5
2 = y
4. The equation has many solutions
5. Distribute the 4:
4z - 20 + 2 = 4z - 18
Subtract 4z
-20 + 2 = -18
-18 = -18
This is true so that means there are infinite number of solutions and z could be anything
Hope this helps!