Question

1. solve the following system of equations for y:

-7x + 5y = 6
5x + 2y = 5
a.) -1/3
b.) -5/3
c.) 1/3
d.) 5/3

2. solve the following system of equations for x:
-7x + 5y = 6
5x + 2y = 5
a.) -13/11
b.) -5/3
c.) 5/3
d.) 1/3

3. find the point of intersection of the lines:
y = 4x + 1 and y = -2x + 4
a.) (1/2 , 3)
b.) (1 , 2)
c.) (2 , 9)
d.) (1/4 , 2)

Answer 1

The answer to your question is 1. d 2. d 3. a

Explanation:

Solve by elimination

-7x + 5y = 6 Equation l

5x + 2y = 5 Equation ll

-Multiply equation l by 5 and equation ll by 7

-35x + 25y = 30

35x + 14y = 35

-Simplify

0 + 39y = 65

y = 65/39

y = 5/3

2. Solve for x

-7x + 5(5/3) = 6

-7x + 25/3 = 6

-7x = 6 - 25/3

- 7x = 18/3 - 25/3

-7x = -7/3

x = -7/3/-7

x = 1/3

3.- Point of intersection

y = 4x + 1

y = -2x + 4

-Solve for equality

4x + 1 = -2x + 4

4x + 2x = 4 - 1

6x = 3

x = 3/6

x = 1/2

-Find y

y = 4(1/2) + 1

y = 4/2 + 1

y = 2 + 1

y = 3

-Point

(1/2, 3)