2x + y = 4 3x - y = 6

Mathematics

2 answers:

MrMuchimi3 years ago

8 0

y=(1/2)x-1

You have to set both to y and then add. After that you solve for y

Gekata [30.6K]3 years ago

7 0

So, just add

2x+y=4
<u>3x-y=6 +</u>
5x+0y=10

5x=10
divide 5
x=2

sub back
2x+y=4
2(2)+y=4
4+y=4
y=0

x=2
y=0
(2,0)

the result of adding the equation is 5x=10

You might be interested in

How do I solve ln(x) + ln(5) = 2 ?

motikmotik

we'll use the same log cancellation rule, since this is pretty much the same thing as the other, just recall that ln = logₑ.

$\bf \textit{Logarithm Cancellation Rules}
\\\\
log_a a^x = x\qquad \qquad \stackrel{\stackrel{\textit{we'll use this one}}{\downarrow }}{a^{log_a x}=x}
\\\\\\
\textit{logarithm of factors}
\\\\
log_a(xy)\implies log_a(x)+log_a(y)
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
ln(x)+ln(5)=2\implies ln(x\cdot 5)=2\implies log_e(5x)=2
\\\\\\
e^{log_e(5x)}=e^2\implies 5x=e^2\implies x=\cfrac{e^2}{5}$

$\bf \\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
ln(x)-ln(5)=2\implies ln\left( \cfrac{x}{5} \right)=2\implies log_e\left( \cfrac{x}{5} \right)=2\implies e^{log_e\left( \frac{x}{5} \right)}=e^2
\\\\\\
\cfrac{x}{5}=e^2\implies x=5e^2$

5 0

2 years ago

Find the inverse y=-1+1/5x pleaseee help

Galina-37 [17]

Answer:

there is no inverse

Step-by-step explanation:

to find the inverse you gotta interchange the variables and solve for y but it is 0 sooo there is no inverse, i believe.

6 0

2 years ago

y is directly proportional to x. When y = 30, x = 6 a) Work out an equation connecting y and x. b) Work out the value of y when

erica [24]

Answer:
y=5x (your equation)

y=60 (your answer)

Step by step explanation:
You are given two numbers, 6 and 30. Since 6 goes into 30, 5 times, then y(which is equal to 30) is equal to x(which is equal to 6) multiplied by 5, so you get your equation,

Y=5X

then you have to solve for y, so just substitute

Y=5(12)

And simplify

Y=60

And there’s your answer

5 0

2 years ago

PLEASE PLEASE HELP!

liberstina [14]

Initial value: 1, rate of change 3 over 5.

3 0

3 years ago

Read 2 more answers

Graph the linear inequality.<br> y<2

Leya [2.2K]

Answer:

See attachment.