3x + 2y = 7
y = -3x + 11
Solve the system of equation using substitution.
Substitute the y in the first equation by its value presented in the 2nd equation.
3x + 2y = 7
3x + 2(-3x + 11) = 7
3x - 6x + 22 = 7
-3x + 22 = 7
-3x = 7 - 22
-3x = -15
-3x/-3 = -15/-3
x = 5
Substitute x in the 2nd equation by its computed value. x = 5
y = -3x + 11
y = -3(5) + 11
y = -15 + 11
y = -4
x = 5 ; y = -4
Substitute x and y in the 1st equation with its corresponding values
3x + 2y = 7
3(5) + 2(-4) = 7
15 - 8 = 7
7 = 7
Answer:
Step-by-step explanation:
walks 3 miles in=45 min
1 mile in=45/3=15 minutes
26 miles=26×15=390 min.=6hrs 30 minutes
Answer:
Step-by-step explanation:
If we have 3 red spaces, 5 white spaces, and one blank space, there are a total of 9 spaces.
Since there are 3 red spaces, there is a chance of getting a red. However, the question asks the probability of not getting a red, so the chances of not getting a red are .
Hope this helped!
Answer:
The answer to your question is 1.- (-3, 4) 2.- (3, 1) None of the choices
Step-by-step explanation:
1.- The solution of a system of equation by the graph method is the point in which the lines cross. In this graph we observe that this point is approximately
(-3, 4).
2.-
Equation 1 x + y = 4
Equation 2 x - y = 2
Solve by the combination method
x + y = 4
x - y = 2
2x 0 = 6
2x = 6
Solve for x
x = 6/2
x = 3
Substitute x in equation 1 to find y
3 + y = 4
Solve for y
y = 4 - 3
y = 1
Solution (3, 1)
Answer:
<em>y=2 cos (π/4x-π/4)</em>
Step-by-step explanation:
<em>Given</em>
<em>A cosine function has an amplitude of 2, a midline of 5 and a period of 8.</em>
<em>To find: </em>
<em>A cosine function.</em>
<em>Explanation:</em>
<em>Let the function be,</em>
<em></em>
<em>Since amplitude is 2.</em>
<em>Then,</em>
<em></em>
<em>Also, since the period is 8.</em>
<em>Then,</em>
<em></em>
<em>And, since midline is 5.</em>
<em>Hence, the cosine function is,</em>
<em>y=2 cos (</em><em>x-</em>
<em></em>