Find an equivalent system of equations for the following system:
2x + 4y = 4
-5x + 5y = 5
a.2x + 4y = 4
-3x - y = -1
b.2x + 4y = 4
7x + 5y = -1
c.2x + 4y = 4
7x - y = 5
d.2x + 4y = 4
7x - y = -1

A.2x + 4y = 4

-3x - y = -1

D.2x + 4y = 4

7x - y = -1

Explanation:

Given system of equations,

2x + 4y = 4  (1)

-5x + 5y = 5 (2)

x-intercept and y-intercepts of equation (1) are (2, 0) and (0, 1)

While, x-intercepts and y-intercepts of equation (2) are (-1, 0) and (0, 1)

Thus, by plotting these lines on the graph,

We get,

The intersection point of line (1) and (2) is ( 0, 1)

That is, the solution would be (0, 1),

Similarly,

Graphing -3x - y = -1, 7x + 5y = -1, 7x - y = 5 and 7x - y = -1,

We get,

A. The solution of 2x + 4y = 4, -3x - y = -1 is ( 0, 1 )

B. The solution of 2x + 4y = 4, 7x + 5y = -1  is ( -1.333, -1.667 )

C. The solution of 2x + 4y = 4, 7x - y = 5 is ( 0.8, 0.6)

D. The solution of 2x + 4y = 4, -7x - y = -1 is ( 0, 1 )

Explanation:

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