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6) $2x + y = 4$; $y = -2x + 4$ (with a coordinate grid and a table of x…

Question

  1. $2x + y = 4$; $y = -2x + 4$ (with a coordinate grid and a table of x and y values, some filled with 1, 0, -1 for x)

Explanation:

Step1: Substitute \( x = 1 \) into \( y=-2x + 4 \)

Substitute \( x = 1 \) into the equation \( y=-2x + 4 \). So we have \( y=-2(1)+4=-2 + 4 = 2 \).

Step2: Substitute \( x = 0 \) into \( y=-2x + 4 \)

Substitute \( x = 0 \) into the equation \( y=-2x + 4 \). Then \( y=-2(0)+4=0 + 4 = 4 \).

Step3: Substitute \( x=-1 \) into \( y=-2x + 4 \)

Substitute \( x=-1 \) into the equation \( y=-2x + 4 \). We get \( y=-2(-1)+4 = 2 + 4 = 6 \).

Answer:

For \( x = 1 \), \( y = 2 \); for \( x = 0 \), \( y = 4 \); for \( x=-1 \), \( y = 6 \)