Answer:
B
Step-by-step explanation:
3y – x = –7
The system has one solution.
The system consists of parallel lines.
Both lines have the same slope.
Both lines have the same y–intercept.
The equations represent the same line.
The lines intersect.
Answer:
The correct answers are:
Step-by-step explanation:
We are given system of linear equations as:
y=x-4--------(1)
and 3 y-x= -7----------(2)
on substituting the value of 'y' from equation (1) into equation (2) we have:
3(x-4)-x=-7
⇒ 3x-3×4-x=-7
⇒ 3x-x= -7+12
⇒ 2x=5
⇒
also putting the value of x into equation (1) we have:
Hence, the system has one solution.
y-intercept is -4
but the slope of line 3y-x = -7 i.e.
hence the slope of second line is: .
and y-intercept is .
Answer and explanation:
Given : Equations and
To find : Which statements about the system are true? Check all that apply.
Solution :
First we solve the system of equations,
.....(1)
......(2)
Substitute y from (1) in (2),
Substitute the value of x in (1),
1) The system has one solution i.e.
2) The system has solution which means it is not parallel lines.
Writing equation in slope from,
where m=1 and c=-4
where and c=-4
3) Both lines have different slopes.
4) Both lines have the same y-intercept.
5) The equations represent the different lines.
6) The lines intersect at
Answer:
A=16
Step-by-step explanation:
formula is 2l+2w=A
80%
Ummm bro the explanation is simple he keeps 8/10 and he saves 2/10 sooo
8/10 x 10 = 80/100 spends 80%
2/10 x 10 = 20/100 saves 20%
Easy peasy...
Glen saves $2 out of every $10 he earns, which is 20%. Therefore, he spends 80% of his earnings. That's the percentage of the money he gets to spend.
To figure out what percent of his earnings Glen gets to spend, you need to look at the portion that he is not required to save. If he earns $10 and is required to save $2, he gets to spend $7 out of every $10.
This means Glen gets to keep 80% of his earnings. The reasoning here is simple: for every $10, he saves $2 (which is 20% of $10) and the rest, which is $8, he gets to spend. Therefore, the percentage of his money that he gets to spend is $8/$10*100 which equals to 80%.
#SPJ2
y = 2x - 7
To solve the given pair of linear equations y = -x + 5 and y = 2x - 7, you can use the elimination method. Multiply the second equation by -1, add the equations together to eliminate y, solve for x, and substitute the value of x back into either equation to find y. The solution is x = 4 and y = 1.
To solve the given pair of linear equations:
y = -x + 5
y = 2x - 7
You can use the method of substitution or elimination. Let's use the elimination method:
Step 1: Multiply the second equation by -1 to make the coefficient of y in both equations the same:
y = -x + 5
-y = -2x + 7
Step 2: Add the equations together to eliminate y:
0 = -3x + 12
Step 3: Solve for x:
3x = 12
x = 4
Step 4: Substitute the value of x back into either equation to find y:
y = -4 + 5
y = 1
So, the solution to the given pair of linear equations is x = 4 and y = 1.
#SPJ2
The complete question is given below:
Solve the given pair of linear equation in two variable.
y = -x + 5
y = 2x - 7
Answer: x=4, y=1
Step-by-step explanation:
Because y=y, you can make an equation that is -x+5=2x-7. Then add the x to the right side, so it would be 5=3x-7. Then add the 7 to the left side to get all of the numbers in one place. So it would be 12=3x. Divide by 3 on both sides and you get x=4. Then plug x into either one of the original equations. Both equations should get you the same answer for y. Y=-4+5. Y=1. And the other equation. Y=2x-7, y=8-7. Y=1