2 years ago

How to find the y-intercept and graph the equation y=4x + 3

Mathematics

1 answer:

SIZIF [17.4K]2 years ago

3 0

The y intercept would be 3, from there go up 4 and right 1 .

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Algebra 1 > * 3.10 Solve linear equations: word problems UFG

ki77a [65]

Answer:

Step-by-step explanation:

y=1x+11

19=x+11

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3 years ago

Z - 5 = 33

evablogger [386]

Answer:

C) 5 less than z is 33

Step-by-step explanation:

z-5=33

z-5+5=33+5

z=38

38-33=5

7 0

3 years ago

Trevor solved the system of equations below. What mistake did he make in his work? 2x + y = 5 x − 2y = 10 y = 5 − 2x x − 2(5 − 2

Arturiano [62]

$2x+y=5 \\
x-2y=10 \\ \\
y=5-2x \\
x-2(5-2x)=10 \\
x-10+4x=10 \\
5x-10=10 \\
\boxed{5x=0} \Leftarrow \hbox{the mistake, it should be 5x=20} \\
x=0 \\ \\
2(0)+y=5 \\
y=5$

If 2x+y=5, then y=5-2x, so he substituted 5-2x correctly.
x+4x=5x, so he combined like terms correctly.
If 5x-10=10, then 5x=10+10 -> 5x=20, so he subtracted 10 from the right side instead of adding 10 to the right side.

The answer is C.

Here's the correct solution:
$2x+y=5 \\
x-2y=10 \\ \\
y=5-2x \\
x-2(5-2x)=10 \\
x-10+4x=10 \\
5x-10=10 \\
5x=10+10 \\
5x=20 \\
x=\frac{20}{5} \\
x=4 \\ \\
y=5-2x \\
y=5 - 2 \times 4 \\
y=5-8 \\
y=-3 \\ \\
(x,y)=(4,-3)$

5 0

3 years ago

10 people meet, and each person shakes every other person's hand once. How many handshakes occurred?

Alex777 [14]

45 handshakes would take place! i've attached how i figured this out (pardon the scribbles)