Question

4) 2x – 15 = 13;5) 7y - 25 = 45;6) 130 - 4x = 70;​

Answer 1

$2x - 15 = 13 \\ 2x = 13 + 15 \\ 2x = 28 \\ x = 14$

$7y - 25 = 45 \\ 7y = 45 + 25 \\ 7y = 70 \\ y = 10$

$130 - 4x = 70 \\ - 4x = 70 - 130 \\ - 4x = - 60 \\x = 15$

Answer 2

Let's solve the equations one by one:

4. 2x - 15 = 13

To isolate the variable, we'll first add 15 to both sides:

2x - 15 + 15 = 13 + 15 2x = 28

Then, we'll divide both sides by 2 to solve for x:

2x/2 = 28/2 x = 14

So the solution for this equation is x = 14.

5. 7y - 25 = 45

To isolate the variable, we'll first add 25 to both sides:

7y - 25 + 25 = 45 + 25 7y = 70

Next, we'll divide both sides by 7 to solve for y:

7y/7 = 70/7 y = 10

Therefore, the solution for this equation is y = 10.

6. 130 - 4x = 70

To isolate the variable, we'll first subtract 130 from both sides:

130 - 4x - 130 = 70 - 130 -4x = -60

Then, we'll divide both sides by -4 to solve for x:

-4x/-4 = -60/-4 x = 15

Hence, the solution for this equation is x = 15.