Subjects algebra

Verify Linear 904D32

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1. **State the problem:** We are given the linear equation $y = 7 - 3x$ and a table of $x$ and $y$ values. We need to verify if the $y$ values correspond correctly to the given $x$ values using the equation. 2. **Formula used:** The equation is $y = 7 - 3x$. This means for each $x$, multiply by 3, then subtract from 7 to get $y$. 3. **Check each pair:** - For $x=6$, calculate $y = 7 - 3 \times 6 = 7 - 18 = -11$. The table says $y=25$, which does not match. - For $x=1$, calculate $y = 7 - 3 \times 1 = 7 - 3 = 4$. The table says $y=26$, which does not match. - For $x=0$, calculate $y = 7 - 3 \times 0 = 7 - 0 = 7$. The table says $y=27$, which does not match. - For $x=-2$, calculate $y = 7 - 3 \times (-2) = 7 + 6 = 13$. The table says $y=28$, which does not match. 4. **Conclusion:** None of the $y$ values in the table match the values calculated from the equation $y = 7 - 3x$. Therefore, the table values do not satisfy the given equation. **Final answer:** The table values do not correspond to the equation $y = 7 - 3x$.