You can write the two equations x = 4y - 7 and x + y = 93; substitute the value of x into the other equation
(4y - 7) + y = 93; combine like terms
5y - 7 = 93; add 7 to both sides
5y = 100; divide both sides by 5
y = 20; substitute this value into the other equation
x + 20 = 93
x = 73
So the numbers are 20 and 73
Answer:
x= 42
y= 23
Step-by-step explanation:
Set up a system of equations like this:
(4y-9)=(3x-43)
(2x+13)=(4y+5)
when two lines cross like this they form vertical angles, and vertical angles are always equal.
calculate the system of equations and you'll get x=42 and y=23
To find the measure of any of the angles just put x or y into the equation.
Answer: 7/8
Step-by-step explanation:
You can change all the fractions to have equivalent denominators.
The Least Common Denominator of 1 1/4 and 3/8 is 8. Now we can change the fractions.
1 1/4 = 1 2/8 = 10/8.
3/8 = 3/8.
Now we can subtract. Subtract the numerators of the first fraction from the numerators of the second fraction, and the denominators oft he first fraction to the denominators of the second fraction.
10/8 - 3/8 = 7/8.
Therefore, 1 1/4 - 3/8 = 7/8; the fourth answer.
Answer:
y = (1/3)x + 1
Step-by-step explanation:
You first find the slope:
(2 - (-1))/(3 - (-6)) =
3/9 =
1/3
This means the equation of the line is y = (1/3)x + b, where b is a real number.
Plug in either of the points to find the value of b:
-1 = (1/3)(-6) + b -->
-1 = -2 +b -->
1 = b
This means the equation is y = (1/3)x + 1
a.129.6+16.2
= 145.8
b.129.6×16.2
= 2099.52
c.129.6÷16.2
= 8
d.129.6−16.2
= 113.4
e.192.4+14.8
= 207.2