use the properties of equality to show that the equation 6x + 3= 27 is equivalent to the equation 2x = 8

Mathematics

2 answers:

Sphinxa [80]3 years ago

6 0

Given: 6x + 3 = 27

First what we do is to subtract 3 from both sides:

6x + 3 – 3 = 27 – 3

6x = 24

Then we divide both sides by 3:

6x/3 = 24/3

2x = 8

polet [3.4K]3 years ago

6 0

Answer:its 2x=8

Step-by-step explanation:

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Eli has saved $8 more than 1/3 of Angela's savings.If they each save $10 more Eli will have saved &4 more than Angela's savi

statuscvo [17]

Answer:

Eli has saved $10

Step-by-step explanation:

Let us use the first letters of their names to represent them.

A for Angela and E for ELi

So, from the first statement, we can write out an equation: E = $\frac{1}{3}$ A + 8, that is, one-third of Angela's savings + $8 will give us Eli's savings

From the second statement, we can write out: E + 10 = (A + 10) + 4 which means that if $10 is added to both their savings, Eli will still have $4 more than Angela.

So, we can solve both equations;

Equation 1: E = $\frac{1}{3}$ A + 8

Equation 2: E + 10 = (A + 10) + 4; which can be rewritten as E + 10 = A + 14

and then E = A + 4

The two equations (in bold), can then be solved simultaneously.

Let us carry out this operation to eliminate the E: Subtract equation 1 from equation 2, so that;

A + 4 - ( $\frac{1}{3}$ A + 8) = E - E

$\frac{2}{3}$ A - 4 = 0