(b) Does (-4,10) satisfy the equation (3)/(2)x+y-4=0 ? Yes No

Substitute values and calculate: Substitute the x and y values from the point (-4,10) into the equation (3/2)x + y - 4 = 0. Calculation: (3/2)(-4) + 10 - 4 Math error check: Multiply first term by -4: Multiply (3/2) by -4 to find the value of the first term. Calculation: (3/2) * -4 = -6 Math error check: Add and subtract to find result: Add the result from Step 2 to the y-value from the point, which is 10, and then subtract 4. Calculation: -6 + 10 - 4 Math error check: Perform final check: Perform the addition and subtraction from Step 3 to determine if the result equals 0. Calculation: -6 + 10 - 4 = 0 Math error check: Verify final result: Check if the final result from Step 4 is equal to 0, which would mean the point satisfies the equation. Calculation: 0 = 0 Math error check:

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Algebra 1

Add and subtract rational expressions

Full solution

Q. (b) Does

(-4,10)

satisfy the equation

\frac{3}{2} x+y-4=0

\newline

Yes

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Substitute values and calculate: Substitute the $x$ and $y$ values from the point $(-4,10)$ into the equation $\frac{3}{2}x + y - 4 = 0$ . $\newline$ Calculation: $\frac{3}{2}(-4) + 10 - 4$ $\newline$ Math error check:
Multiply first term by $-4$ : Multiply $(\frac{3}{2})$ by $-4$ to find the value of the first term. $\newline$ Calculation: $(\frac{3}{2}) \times -4 = -6$ $\newline$ Math error check:
Add and subtract to find result: Add the result from Step $2$ to the y-value from the point, which is $10$ , and then subtract $4$ . $\newline$ Calculation: $-6 + 10 - 4$ $\newline$ Math error check:
Perform final check: Perform the addition and subtraction from Step $3$ to determine if the result equals $0$ . $\newline$ Calculation: $-6 + 10 - 4 = 0$ $\newline$ Math error check:
Verify final result: Check if the final result from Step $4$ is equal to $0$ , which would mean the point satisfies the equation. $\newline$ Calculation: $0 = 0$ $\newline$ Math error check: