Answer:
First number is -2.5
Second number 5
Step-by-step explanation:
Four times the first number minus three times the second number is 2.
To represent this statement, 4x -3y =2
Two times the first number increased by three times the second is 10.
To represent thsi statement, 2x+ 3y = 10
4x - 3y = 2
2x + 3y =10
4x - 2x = 2x
2x = -5
x= -2.5
The first number is -2.5
By using Substitution
2x + 3y = 10
2(-2.5) + 3y = 10
-5 + 3y = 10
3y = 10 +5
3y =15
y = 5
The second number is 5
....To check my answer
-5 + 15 = 10
Answer:
Step-by-step explanation:
combine like terms (6n-4n)=(5-15)
2n=-20
n=20/2
n=10
Answer:
A.
Step-by-step explanation:
Answer:
(5, 11 )
Step-by-step explanation:
Given the 2 equations
y = 3x - 4 → (1)
y = 2x + 1 → (2)
Substitute y = 3x - 4 into (2)
3x - 4 = 2x + 1 ( subtract 2x from both sides )
x - 4 = 1 ( add 4 to both sides )
x = 5
Substitute x = 5 into either of the 2 equationsfor corresponding value of y
Substituting into (2)
y = 2(5) + 1 = 10 + 1 = 11
solution is (5, 11 )
#22)
4(t - 8) + 20 = 5
Distribute the 4.
4t - 32 + 20 = 5
Combine like terms.
4t - 12 = 5
Add 12 to both sides.
4t = 17
Divide both sides by 4.
t = 4.25
#24)
17 = -5(3 + w) + 7
Distribute the -5.
17 = -15 - 5w + 7
Combine like terms.
17 = -8 - 5w
Add 8 to both sides.
25 = -5w
Divide both sides by -5.
w = -5
#26)
9 = -(r - 5) + 11
Distribute the -.
9 = -r + 5 + 11
Combine like terms.
9 = -r + 16
Subtract 16 from both sides.
-7 = -r
r = 7
