Answer:
x = 1
y = 3
Step-by-step explanation:
<h2>
<em><u>Substitution Method</u></em><em><u>:</u></em></h2>
Step 1:
Name The Equation
4x + y = 7 ...(1)
3x + 2y = 9 ...(2)
Step 2:
From Equation (1) we get,
4x = 7 - y
i.e.,
x = 7 - y/4
Step 3:
Substitute the value of <em><u>x = 7 - y/4</u></em> in equation (2)
i.e.,
3(7 - y/4) + 2y = 9
21 - 3y/4 + 2y = 9
21 - 3y + 8y/4 = 9
21 - 3y + 8y = 9 * 4
21 + 5y = 36
5y = 36 - 21
5y = 15
y = 15/5
<em><u>y = 3</u></em>
Step 4:
Substitute the value of <em><u>y = 3</u></em> in equation (1)
4x + y = 7
i.e.,
4x + (3) = 7
4x + 3 = 7
4x = 7 - 4
4x = 4
x = 4/4
<em><u>x = 1</u></em>
<h2><em><u>Verification</u></em><em><u>:</u></em><em><u> </u></em></h2>
4x + y = 7 i.e., <em>4(1) + (3) = 7</em>
3x + 2y = 9 i.e., <em><u>3(1) + 2(3) = 9</u></em>
Answer:
f(x)=1
Step-by-step explanation:
All you do is substitute -1/2 for x in f(x), so
f(x)=4(-1/2)+3
f(x)=(-2)+3
f(x)=1
Answer:
tan A = 1.375
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp / adj
tan A = CB/ AC
tan A = 11/8
tan A = 1.375
Answer: 320-8x=280
Step-by-step explanation:
320-280=40
You have 40 bucks technically
Don't forget to count yourself in (40-8=32)
32/8=4
You can bring 4 friends
The correct answer from the four selections is the first one.
320-8x=280
Answer:
(0 + 20x) > (80 + 10x)
Number of weeks > 8 weeks
Step-by-step explanation:
Given the following :
Initial Pilar = 80 ; when marisol started, marisol had 0 then,
Pilar adds 10 each week for x weeks
Marisol adds 20 each week for x weeks
Pilar:
Initial + Increment * number of weeks
80 + (10)x
Marisol :
0 + 20x
When marisol will be greater than pilar's function
Marisol > pilar
A.) (0 + 20x) > (80 + 10x)
20x > 80 + 10x
20x - 10x > 80
10x > 80
x > 8
The number of seashells in marisol collection will be greater Than seashells in pilar's collection after 8, weeks