Graph the equations to solve the system. y= 2x+5 an 1/2y = x+5/2

Mathematics

1 answer:

mrs_skeptik [129]3 years ago

8 0

Answer:

Infinitely many solutions

Step-by-step explanation:

Given:

y= 2x+5

1/2y = x+5/2

Multiplying 2 with both sides will give:

2( 1/2y) = 2(x+5/2 )

y= 2x+5

As both the equations are similar with same slope m=2 and y-intercept= 5

thus the system of equation will have infinite solution. Graph will show single line.

Graph is attached!

You might be interested in

Evaluate -5g - 6 for g = -2

Feliz [49]

Plug in g equals -5 x -2 which equals 10 because 2 negatives are a positive then 10-6 equals 4

The anwser is 4

4 0

3 years ago

Read 2 more answers

Solve the equation on the interval [0, 2pi): 12cos^2 x-9=0<br><br><br> What to do?

siniylev [52]

Answer:

$\large\boxed{x=\dfrac{\pi}{6}\ \vee\ x=\dfrac{5\pi}{6}\ \vee\ x=\dfrac{7\pi}{6}\ \vee\ x=\dfrac{11\pi}{6}}$

Step-by-step explanation:

$12\cos^2x-9=0\qquad\text{add 9 to both sides}\\\\12\cos^2x=9\qquad\text{divide both sides by 12}\\\\\cos^2x=\dfrac{9}{12}\\\\\cos^2x=\dfrac{9:3}{12:3}\\\\\cos^2x=\dfrac{3}{4}\to\cos x=\pm\sqrt{\dfrac{3}{4}}\\\\\cos x=\pm\dfrac{\sqrt3}{2}\\\\\text{Look at the picture}\\\\x=\dfrac{\pi}{6}\ \vee\ x=\dfrac{5\pi}{6}\ \vee\ x=\dfrac{7\pi}{6}\ \vee\ x=\dfrac{11\pi}{6}$