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{:[-2x+by=59],[5x-y=1]:}
If the system of equations has exactly one solution
(x,y) and
x=2, what is the value of
b ?

$-2 x+b y=59$ $\newline$ $5 x-y=1$ $\newline$ If the system of equations has exactly one solution $(x, y)$ and $x=2$ , what is the value of $b$ ?

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Solve two-step linear inequalities

Full solution

Q.

-2 x+b y=59

\newline

5 x-y=1

\newline

If the system of equations has exactly one solution

(x, y)

and

x=2

, what is the value of

b

?

Find y value: Substitute $x=2$ into the second equation to find the value of y. $5x - y = 1$ $5(2) - y = 1$ $10 - y = 1$ $y = 10 - 1$ $y = 9$
Find b value: Substitute $x=2$ and $y=9$ into the first equation to find the value of b. $\newline$ $-2x + by = 59$ $\newline$ $-2(2) + b(9) = 59$ $\newline$ $-4 + 9b = 59$ $\newline$ $9b = 59 + 4$ $\newline$ $9b = 63$
Solve for b: Solve for b. $\newline$ $9b = 63$ $\newline$ $b = \frac{63}{9}$ $\newline$ $b = 7$

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