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3 years ago

6

What is the y-intercept of the line whose equation is y=1/2x-3

1 answer:

Aleksandr [31]3 years ago

3 0

Answer:

-3

Step-by-step explanation:

y=mx+b

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3 years ago

Solve the equations by substitution method: A. 2x-y-3=0 and 3x+4y=65.

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Step-by-step explanation:

$\sf 2x-y-3=0\dots \dots (1)$

$\sf 3x+4y=65 \\ \implies\sf 3x+4y-65=0 \dots\dots(2)$

from eq (1)

${:}\longrightarrow$ $\sf 2x-y-3=0$

${:}\longrightarrow$ $\sf 2x-3=y$

${:}\longrightarrow$ $\sf y=2x-3 \dots\dots(3)$

Substitute the value in eq(2)

${:}\longrightarrow$ $\sf 3x+4y-65=0$

${:}\longrightarrow$ $\sf 3x +4 (2x-3)-65=0$

${:}\longrightarrow$ $\sf 3x+8x-12-65=0$

${:}\longrightarrow$ $\sf 11x-77=0$

${:}\longrightarrow$ $\sf 11x=77$

${:}\longrightarrow$ $\sf x={\dfrac {77}{11}}$

${:}\longrightarrow$ $\sf x=7$

Substitute the value in eq (3)

${:}\longrightarrow$ $\sf y=2x-3$

${:}\longrightarrow$ $\sf y=2 (7)-3$

${:}\longrightarrow$ $\sf y=14-3$

${:}\longrightarrow$ $\sf y=11$

$\therefore$ ${\underline{\boxed{\bf (x,y)=(7,11)}}}$

7 0

2 years ago