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

(a) Does $(2,-2)$ satisfy the equation $\frac{3}{2} x+y-4=0$ ? $\newline$ No $\newline$ Yes

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Does (x, y) satisfy the linear equation?

Full solution

Q. (a) Does

(2,-2)

satisfy the equation

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

?

\newline

No

\newline

Yes

Identify values of $x$ and $y$ : Identify the values of $x$ and $y$ in the point $(2, -2)$ . We have $x = 2$ and $y = -2$ .
Substitute values into equation: Substitute the values of $x$ and $y$ into the equation $\frac{3}{2}x + y - 4 = 0$ . Substitute $2$ for $x$ and $-2$ for $y$ into the equation. Calculation: $\frac{3}{2}\cdot2 + (-2) - 4 = 0$
Perform multiplication and addition: Perform the multiplication and addition to simplify the equation. $\newline$ Calculation: $3 + (-2) - 4 = 0$
Combine numbers to check equation: Combine the numbers to see if the equation is satisfied. $\newline$ Calculation: $3 - 2 - 4 = -3$
Determine if equation is satisfied: Determine if the simplified equation equals zero. $\newline$ $-3 \neq 0$ , so the point $(2, -2)$ does not satisfy the equation $\frac{3}{2}x + y - 4 = 0$ .

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