Question

Can someone help me with this math homework please!

Answer 1

1.
`x=2`

2. Simplify by combining like terms

3.
`x=1`

4.
`k=0.5`

5.
`y=3`

Explanation:

1.
`2.5(6x-4)=10+4(1.5+0.5x)`

Distribute within the parenthesis

`15x-10=10+6+2x`

Combine like terms

`15x-10=16+2x`

Isolate the variable expression by using the addition/subtraction properties of equality

`13x=26`

Isolate the variable by using the division/multiplication properties of equality

`x=2`

2. Like terms are always combined as soon as possible but never before the distributive property is applied.

3. You can find the solution by comparing the tables.

4.
`6k+10.5=3k+12`

Apply the addition/subtraction properties of equality

`3k=1.5`

Apply the division/multiplication properties of inequality

`k=0.5`

5.
`y+3=-y+9`

Addition/subtraction properties

`2y=6`

Division/Multiplication properties

`y=3`