Answer:
Step-by-step explanation: if you are doing subtitution then
Let's solve your system by substitution.
y=4x+14 and y=6x+8
Rewrite equations:
y=4x+14;y=6x+8
Step: Solvey=4x+14for y:
y=4x+14
Step: Substitute4x+14foryiny=6x+8:
y=6x+8
4x+14=6x+8
4x+14+−6x=6x+8+−6x(Add -6x to both sides)
−2x+14=8
−2x+14+−14=8+−14(Add -14 to both sides)
−2x=−6−2x−2=−6−2
(Divide both sides by -2)
x=3
Step: Substitute3forxiny=4x+14:
y=4x+14
y=(4)(3)+14
y=26(Simplify both sides of the equation)
Answer:
x=3 and y=26
Answer:
Step-by-step explanation:
direct proportion
1mile in 5 minutes
xmiles in 60 minutes
cross multiply
60/5=12 miles
Answer:
Step-by-step explanation:
Isolate the term of x and y from one side of the equation.
<h3>x+2y=11 and 4x-y=8</h3>
⇒ x+2y=11
⇒ x=11-2y
Substitute.
4(11-2y)-y=8
<u>Solve.</u>
<u>Distributive property:</u>
⇒ A(B+C)=AB+AC
4(11-2y)
4*11=44
4*2=8
<u>Rewrite the problem down.</u>
44-9y=8
<u>Subtract by 44 from both sides.</u>
44-9y-44=8-44
Solve.
-9y=-36
<u>Divide by -9 from both sides.</u>
-9y/-9=-36/-9
<u>Solve.</u>
-36/-9=4
<u>y=4</u>
<u>Substitute of y=4.</u>
⇒ x=11-2*4
<u>Use order of operations.</u>
<u>PEMDAS stands for:</u>
- Parentheses
- Exponents
- Multiply
- Divide
- Add
- Subtract
11-2*4
<u>Multiply.</u>
2*4=8
<u>Rewrite the problem down.</u>
11-8
<u>Subtract.</u>
11-8=3
<u>x=3</u>
- <u>Therefore, the correct answer is x=3 and y=4.</u>
I hope this helps you! Let me know if my answer is wrong or not.
Answer:
65
Step-by-step explanation:
7x13=91
91-26=65
thats the answer right there kid
Answer:
The images are;
A’ (5,2) B’ (2,1) and C’ (1,3)
Step-by-step explanation:
Firstly, we want to reflect across the x-axis
When we reflect a point (x,y) over x-axis, we get (x,-y)
So;
A ( 2,5) becomes (2,-5)
B (1,2) becomes (1,-2)
C ( 3,1) becomes (3,-1)
Then we proceed to rotate 90 degrees counterclockwise about the origin
Here we have;
(x,y) becomes (-y,x)
(2,-5) becomes (5,2)
(1,-2) becomes (2,1)
(3,-1) becomes (1,3)
