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Solve each equation if the domain is (-2, -1, 0, 2, 4):

y = -4x + 10

3x - y = 10

1/2x - y = 5

User Astabada
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Final answer:

To solve the given linear equations, substitute each value from the domain into the equation and solve for y. This process is repeated for each value in the domain, yielding a set of corresponding y-values.

Step-by-step explanation:

To solve each equation with the domain (-2, -1, 0, 2, 4), we simply substitute the values of the domain into the equation and solve for the dependent variable, which in this case is y.

y = -4x + 10

When x = -2, y = -4(-2) + 10 = 8 + 10 = 18

When x = -1, y = -4(-1) + 10 = 4 + 10 = 14

When x = 0, y = -4(0) + 10 = 10

When x = 2, y = -4(2) + 10 = -8 + 10 = 2

When x = 4, y = -4(4) + 10 = -16 + 10 = -6

3x - y = 10

For each value of x from the domain, we rearrange the equation to solve for y and then substitute the value of x.

For example, when x = 0, we have 3(0) - y = 10, so y = -10.

1/2x - y = 5

Similarly, we rearrange to solve for y and substitute in the domain values.

For instance, when x = 2, we have (1/2)*2 - y = 5, so y = -4.

Overall, solving linear equations for given domain values involves substituting each domain value into the equation and solving for y.

User Kaleissin
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