Solve the inequality 2y=4x-6

Mathematics

1 answer:

kap26 [50]1 year ago

6 0

Answer:

y=2x+3.

Step-by-step explanation:

2y-4x=6. 2y−4x=6. Add 4x to both sides. Add 4x to both sides.

2y=6+4x. 2y=6+4x. The equation is in standard form. The equation is in standard form.

2y=4x+6. 2y=4x+6. Divide both sides by 2. Divide both sides by 2.

y=2x+3. y=2x+3.

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I really need help asap please

gizmo_the_mogwai [7]

We can use the substitution method to solve this problem.

The second equation is $\sf y=2x$ , so we can plug in 2x for 'y' in the first equation:

$\sf 5x-2y=3$

$\sf 5x-2(2x)=3$

Multiply:

$\sf 5x-4x=3$

Combine like terms:

$\sf x=3$

This is the x-value of our solution, we can plug this into any of the two equations to find the y-value:

$\sf y=2x$

$\sf y=2(3)$

Multiply:

$\sf y=6$

This is the y-value of our solution. So our entire solution is (3, 6).

5 0

2 years ago

Please help if can thank you :)

Evgesh-ka [11]

2*(1/2*8 inches*4 inches)+10 inches*4 inches

4 0

3 years ago

A runner is participating in a 10.3 mile race. If the runner stopped at a water station that is twice as far from the starting l

Rudik [331]

We have the representation of this problem in the figure below. As we have a 10.3 mile race, then the equation is fulfilled as:

$d = 10.3mi = d_{1}+ d_{2}$

We know that there is <span>a water station that is twice as far from the starting line as from the finish line, then:

</span> $d_{2}=2d_{1}$

So:

$d_{1} +2d_{1}=10.3$
∴ $d_{1}=3.43mi$

and $d_{2}=2(3.43)=6.86mi$

<span>Finally, the distance of the runner from the finish line is:
</span>
$6.86mi$

8 0

3 years ago

Read 2 more answers

Please help me asap

ziro4ka [17]

Answer:

The second picture. Top right.