Respuesta :
Answer:
[tex]\large\boxed{D.\ \left\{\begin{array}{ccc}2x+4y=4\\7x-y=-1\end{array}\right}[/tex]
Explanation:
[tex]\left\{\begin{array}{ccc}2x+4y=4\\-5x+5y=5&\text{change the signs}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}2x+4y=4&(1)\\5x-5y=-5\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad7x-y=-1\qquad(2)\\\\\text{The equivalent system of equations: use (1) and (2)}\\\\\left\{\begin{array}{ccc}2x+4y=4\\7x-y=-1\end{array}\right[/tex]
Answer:
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 )
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