<u>Let's solve this problem step-by-step</u>
<u>Let's set</u>:
2x + 6y = 36 -- equation 1
x + 4y = 20 -- equation 2
(equation 2) * 2
2x + 8y = 40 -- equation 3
(equation 3) - (equation 1)
2y = 4
y = 2 -- equation 4
Plug (equation 4)'s value of y into (equation 2)
x + 4(2) = 20
x = 20 - 8
x = 12
<u>Thus x = 12 and y = 2</u>
<u>Let's check, by substituting these values</u>

<u>Answer: x = 12 and y = 2</u>
Hope that helps!
Answer:
| -7.8. | = 7.8
Step-by-step explanation:
The symbol for absolute value is two straight lines surrounding the number or expression for which you wish to indicate absolute value.
Answer:
Step-by-step explanation:
They gave you an easy triangle. You can tell by the coordinates that X and Z are horizontally aligned, and Y and Z are vertically aligned, so Z is a right angle.
Area = 0.5(XZ)(YZ) = 0.5(3)(3) = 4.5 square units.
Answer:
Yes, without using the distributive property, we get the value for the given expression 2(x - 3) ≤ 10 as x ≤ 8
Step-by-step explanation:
Here, the given expression is:
2(x - 3) ≤ 10
Yes, the given expression can be solved without using the DISTRIBUTIVE Property
Here, consider the given expression:
2(x - 3) ≤ 10
Now, divide the inequality by 2 on both sides, we get:

Now adding (+3) on both the sides, we get:
(x - 3) ≤ 5 ⇒ (x - 3 + 3 ) ≤ 5 + 3
or, x ≤ 8
Hence, without using the distributive property, we get the value of x ≤ 8 for the given expression 2(x - 3) ≤ 10
Answer: 10 dimes
Solve using system of equations.
q=number of quarters and d=number of dimes
.25q+.10d=5.50 because the total of dimes and quarters is $5.50
8+d=q because there are 8 more quarters than dimes
substitute 8+d for q into the first equation to get .25(8+d)+.10d=5.50
then simplify
2+.35d=5.50
.35d=3.50
d=10 he has 10 dimes