3x+4y=5
2x+3y=
-2(3x+4y)=5(-2)
3(2x+3y)=4(3)
-6x-8y=(-10)
6x+9y=12
Add the equations
-6x-8y=(-10)
+ 6x+9y=12
-----------------
0x+y=2
y=2
Substitue y into an equation
6x+9(2)=12
6x+18=12
6x=-6
x = -1
y = 2
Answer:
- She traveled 45 miles in 1 hour
- She traveled 270 miles in 6 hours
- She traveled 360 miles in 8 hours
Step-by-step explanation:
If Mrs. Anglin traveled at a speed of 90 miles in 2 hours, it means that her speed per hour is:
= 90/2
= 45 mph
If she is travelling at 45mph then in 1 hoour she would have traveled 45 miles.
In 6 hours she would have traveled:
= 45 * 6
= 270 miles
In 8 hours she would have traveled:
= 45 * 8
= 360 miles
Answer:
Step-by-step explanation:
hello :
note :
Use the point-slope formula.
y - y_1 = m(x - x_1) when : x_1= -3 y_1= -2 m= 1/2(parallel means same slope)
an equation in the point-slope form is : y +2 = 1/2(x+3)
We need more information. You don't give us enough information....? Provide an image please. Or at least name the polynomials...
Rule: The diagonals of any parallelogram bisect each other. In other words, they cut each other in half.
This means DF is cut into two equal pieces: DH and HF.
Similarly, GE is cut into two equal pieces: GH and HE.
DH = HF
x+5 = 2y
x = 2y-5
GH = HE
4x-3 = 4y+1
4(x)-3 = 4y+1
4(2y-5)-3 = 4y+1 ... x has been replaced with 2y-5
8y-20-3 = 4y+1
8y-23 = 4y+1
8y-4y = 1+23
4y = 24
y = 6
If y = 6, then x is
x = 2y-5
x = 2(6)-5
x = 12-5
x = 7
--------------------------------------------
Answers:
x = 7 and y = 6