First, let's find the solution.
-2x + 3y = 8
Add 2x to both sides.
3y = 2x + 8
Divide both sides by 3.
y = 2/3x + 8/3
4x + 2/3x + 8/3 = -2
14/3x + 8/3 = -2
Subtract 8/3 from both sides.
14/3x = -14/3
Multiply both sides by 3/14.
x = -1
y = 2/3(-1) + 8/3
y = -2/3 + 8/3
y = 6/3, or 2.
The solution is (-1, 2) which lies in Quadrant II, because its outline is (-, +).
Answer:
-25
Step-by-step explanation:
if you are multiplying x by -2/5 you have to divide each side by it to get
x = 10 ÷ -2/5
and if you change it to (10/1)/(-2/5)
=(10/1) • -5/2
and whene you multiply them you get -50/2
which is -25/1 or -25
Answer:
Step-by-step explanation:
First off, this wouldn't make sense for a girl to be older than her mother or her father.
Second, mother is x years old. The girl is 2x years old. The father is x+5 years old. Total sum = 100.
So, we need to solve for x first.
2x + x + x+5 = 100
4x + 5 = 100
4x = 95
4x ÷ 4 = 95 ÷ 4
x = 23.75
Mother is 23 and 3 quarters, turning 24.
Daughter is 23.75 × 2 = 47 1/2 years old.
And the Father is 28 and 3 quarters, turning 29.
Answer: a₁₁ = -11 a₁₂ = -16 a₁₃ = 6 a₁₄ = -10
<u>Step-by-step explanation:</u>
"A" represents the following matrix of unknown values [a₁₁ a₁₂ a₁₃ a₁₄]
[a₁₁ a₁₂ a₁₃ a₁₄] + [11 17 -8 13] = [0 1 -2 3]
a₁₁ + 11 = 0 --> a₁₁ = 0 - 11 = -11
a₁₂ + 17 = 1 --> a₁₂ = 1 - 17 = -16
a₁₃ + -8 = -2 --> a₁₃ = -2 + 8 = 6
a₁₄ + 13 = 3 --> a₁₄ = 3 - 13 = -10
