Question

I NEED HELP ON THESE 5 QUESTIONS ASAP PLS WILL GIVE BRAINLIEST

Question 1

(08.06 MC)

Abril and Alanis put some money into their money boxes every week. The amounts of money (y), in dollars, in their money boxes after certain amounts of time (x), in weeks, are shown by the equations below:

Abril
y = 50x + 10

Alanis
y = 30x + 70

After how many weeks will Abril and Alanis have the same amount of money in their money boxes, and what will that amount be?

3 weeks, $160
3 weeks, $210
4 weeks, $160
4 weeks, $210


Question 2

(8.02 MC)

Which of the following graphs shows a pair of lines that represents the equations with the solution (3, −6)?

A coordinate grid is shown from negative 8 to positive 8 on the x axis and also on the y axis. A pair of lines is shown intersecting on ordered pair 6 units to the left and 3 units up.
A coordinate grid is shown from negative 8 to positive 8 on the x axis and also on the y axis. A pair of lines is shown intersecting on ordered pair 3 units to the left and 6 units up.
A coordinate grid is shown from negative 8 to positive 8 on the x axis and also on the y axis. A pair of lines is shown intersecting on ordered pair 6 units to the right and 3 units down.
A coordinate grid is shown from negative 8 to positive 8 on the x axis and also on the y axis. A pair of lines is shown intersecting on ordered pair 3 units to the right and 6 units down.

Question 3

(8.03 MC)

Two equations are given below:

m + 3n = 10
m = n − 2

What is the solution to the set of equations in the form (m, n)?

(1, 3)
(2, 4)
(0, 2)
(4, 6)

Question 4

(8.01 LC)

Line A is represented by the equation given below:

x + y = 2

What is most likely the equation for line B, so that the set of equations has infinitely many solutions?

2x + 2y = 2
2x + 2y = 4
2x + y = 2
x + y = 4

Question 5

(08.01 MC)

The graph shows two lines, A and B:

A graph is shown with x- and y-axes labeled from 0 to 6 at increments of 1. A straight line labeled A joins the ordered pair 3, 0 and the ordered pair 0, 6. Another straight line labeled B joins the ordered pair 0, 0 and the ordered pair 5, 5.

Based on the graph, which statement is correct about the solution to the system of equations for lines A and B?

(0, 6) is the solution to both lines A and B.
(0, 6) is the solution to line B but not to line A.
(2, 2) is the solution to both lines A and B.
(2, 2) is the solution to line A but not to line B.

Answer 1

question 1:

The answer is 3weeks $160

question 4:

The answer is 2x+2y=4 because once you reduce it it is the same as x+y=2

Answer 2

Question 1

You have to resolve the system of the equation where $y$ is money an $x$ is time.

First, you equal each other and clear the x

$50x+10=30x+70\\50x-30x=70-10\\20x=60\\x=60/20\\x=3weeks$

Now the result into one of the equations you have at the beginning

$y=50*x+10\\y=50*3+10\\y=160$

Answers 3 weeks and $160

Question 2

Your pair (x,y) is (3,-6), you need to place all the possibilities in the graphic, and you'll discover option D is correct.

Question 3

You have to resolve the system of the equation (m,n), and you'll discover (0,2) is correct.

Clear both m and equal to find n

$m+3n=10\\m=10-3n$

$n-2=10-3n\\n+3n=10-2\\4n=8\\n=8/4\\n=2$

Now replace $n=2$ to find m

$m=n-2\\m=2-0\\m=0$

Question 4

2x + 2y = 4 because they are equivalent. If you reduce this, you'll have line A.

Question 5

Draw both lines, and you'll find (2,2) is an intersection point. This is a solution for both lines.