Answer:
x=3, y=8; (3,8)
Step-by-step explanation:
To use the substitution method, first solve for a variable.
2x+y=14
2x+y(-2x)=14(-2x)
y=14-2x
Now substitute y in the other equation with 14-2x
5x-2(14-2x)= - 1
Simplify by multiplying inside the parenthesis.
5x-28+4x= - 1
Combine the x values
9x-28= - 1
9x=27
x=3
Now substitute the x value in to solve for y
2(3)+y=14
6+y=14
y=8
319 days to feb 10 months and 16days
Answer:
22.21 m/s
Step-by-step explanation:
1 hour = 80km
1 minute = 80000 ÷ 60 = 1.333km
1 second = 1.333 ÷ 60 = 22.21
Answer:
x + 0.07x ≥ 30
Step-by-step explanation:
A sum is terms separated by a plus sign.
"Is at least" means "is greater than or equal to."
7% as a decimal fraction is 0.07.
"Of" means "times."
__
In consideration of the above, you have ...
x plus 7% of x is at least 30
x + 0.07x ≥ 30 . . . . . using math symbols
Answer:
x-intercept: ![\bigg(\frac{5}{2}, \:0\bigg)](https://tex.z-dn.net/?f=%5Cbigg%28%5Cfrac%7B5%7D%7B2%7D%2C%20%5C%3A0%5Cbigg%29)
y-intercept: ![(0,\:5)](https://tex.z-dn.net/?f=%280%2C%5C%3A5%29)
Step-by-step explanation:
To find the x-intercept, substitute in
for
and solve for
.
![-4x + 7 = 2y - 3](https://tex.z-dn.net/?f=-4x%20%2B%207%20%3D%202y%20-%203)
![-4x+7=2\left(\bold{0}\right)-3](https://tex.z-dn.net/?f=-4x%2B7%3D2%5Cleft%28%5Cbold%7B0%7D%5Cright%29-3)
Simplify 2(0): ![-4x+7=2\cdot \:0-3](https://tex.z-dn.net/?f=-4x%2B7%3D2%5Ccdot%20%5C%3A0-3)
Subtract 0 - 3 = -3: ![-4x+7=-3](https://tex.z-dn.net/?f=-4x%2B7%3D-3)
Subtract 7 from both sides: ![-4x+7-7=-3-7](https://tex.z-dn.net/?f=-4x%2B7-7%3D-3-7)
Simplify: ![-4x=-10](https://tex.z-dn.net/?f=-4x%3D-10)
Divide both sides by -4 ![\frac{-4x}{-4}=\frac{-10}{-4}](https://tex.z-dn.net/?f=%5Cfrac%7B-4x%7D%7B-4%7D%3D%5Cfrac%7B-10%7D%7B-4%7D)
![\bold{x=\frac{5}{2}}](https://tex.z-dn.net/?f=%5Cbold%7Bx%3D%5Cfrac%7B5%7D%7B2%7D%7D)
To find the y-intercept, substitute in
for
and solve for
.
![-4x + 7 = 2y - 3](https://tex.z-dn.net/?f=-4x%20%2B%207%20%3D%202y%20-%203)
![-4(\bold{0})+7=2y-3](https://tex.z-dn.net/?f=-4%28%5Cbold%7B0%7D%29%2B7%3D2y-3)
Switch sides: ![y-3=-4\left(0\right)+7](https://tex.z-dn.net/?f=y-3%3D-4%5Cleft%280%5Cright%29%2B7)
Simplify -4(0): ![2y-3=-0+7](https://tex.z-dn.net/?f=2y-3%3D-0%2B7)
Add 3 to both sides: ![2y-3+3=7+3](https://tex.z-dn.net/?f=2y-3%2B3%3D7%2B3)
Simplify: ![2y=10](https://tex.z-dn.net/?f=2y%3D10)
Divide both sides by 2: ![\frac{2y}{2}=\frac{10}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B2y%7D%7B2%7D%3D%5Cfrac%7B10%7D%7B2%7D)
![\bold{y=5}](https://tex.z-dn.net/?f=%5Cbold%7By%3D5%7D)