Solve system of equations using substitution method

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Reference no: EM13823670

Question 1. Write the equation of vertical line passing trough the point (5, 2).

x = 5
x = 2
y = 5
y = 2

Question 2. Do the graph that represents the function: y = 2x - 4

Question 3. Do the graph that represents the function: 5x - 3y = 15

Question 4. Convert given equation of line to slope-intercept form y = mx + b and identify slope m:

x + 2y = 8

a. m= - 1/2
b. m=2
c. m=1
d. m=4

Question 5. Find slope of the line for the graph below-

679_line graph.png

a. -1
b. -2
c. 1
d. 2

Question 6. Select inequality that represents shaded area on the graph below:

551_area graph.png

a. 2x + y <4
b. 4x + 2y < 1
c. x + 2y > 4
d. x - 2y < 1

Question 7. Select inequality that represents shaded area on the graph below-

1963_area graph2.png

a. y< (1/4)x + 2
b. y> (1/4)x + 2
c. y> x + 2
d. y< x + 2

Question 8. For the function

F(x) = x-5
x+5
findf(-10)

a. 1.5
b. - 5
c. 3
d. - 2

Question 9. Solve system of equations using Substitution Method.

Show steps, not just answer.

x + y = 3
2x + 3y = 4

Type your solution in the box below.

Question 10. Solve system of equations using Addition (Elimination) Method.

Show steps, not just answer.

x - 2y = 2
5x + 2y = 22

Type your solution in the box below.

Question 11. Use any method to solve system of equations. Show steps, not just answer.

x- (3/2)y = 1

2x - 7y = 10

Question 12. Peter weights 30 lbs more than John.
Total weight of Peter and John together is 300 lbs.

Let Peter's weight is x lbs and John's weight is y lbs.
Create two equations with x and y, and solve system of equations.

Question 13. If you buy 1 pound potatoes and 2 pounds tomatoes you will pay $4.
For 4 pounds potatoes and 3 pounds tomatoes you will pay $8.
How much costs pound potatoes and how much costs pound tomatoes?

Assign x for cost of potatoes per pound and assign y for cost of tomatoes per pound.
Create two equations with x and y, and solve system of equations.
Answers should decimal numbers with two digits after decimal point (like 4.20)

Question 14. Select system of two inequalities that represent shaded area on the graph below:

1434_area graph 3.png

a. x+y≤ 2
y≥ 2
b. x - y ≤ 2
y ≤ 2

c. 2x - 2y ≤ 1
y > 2

d. 2x + 2y ≤ 1
y < 1

Question 15. Do the graph that represents solution for the following system of inequalities

x + y ≤ 2
2x - y ≤ 4

Reference no: EM13823670

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