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WITCHER [35]
3 years ago
11

Slove the system of equations:y+4×=8and 5×+2y=13?

Mathematics
1 answer:
In-s [12.5K]3 years ago
7 0
I am gonna use substitution method.
Solve for y in first equation,
y + 4x = 8
y = 8 -4x
Put the above y value in second equation,
5x + 2y = 13
5x + 2(8-4x) = 13
5x + 16 - 8x = 13
-3x = 13-16
-3x = -3
x = -3/-3
x = 1/1 = 1
Put the x value in first equation,
y + 4x = 8
y + 4(1) = 8
y = 8 - 4
y = 4
Hence, the solution is (1,4)
You might be interested in
How can you use substitution to solve a system of linear equations?
makvit [3.9K]
Step 1:
Solve one of the equations for either x = or y = .
Step 2:
Substitute the solution from step 1 into the other equation.
Step 3:
Solve this new equation.
Step 4:
Solve for the second variable.

Example 1: Solve the following system by substitution
Substitution Method Example
Solution:
Step 1: Solve one of the equations for either x = or y = . We will solve second equation for y.
solution step 1
Step 2: Substitute the solution from step 1 into the second equation.
solution step 2
Step 3: Solve this new equation.
solution step 3
Step 4: Solve for the second variable
solution step 4
The solution is: (x, y) = (10, -5)
Hope this helps!
6 0
3 years ago
I’m honestly confused on how to solve for k. please help.
stellarik [79]

Answer:

k=9

Step-by-step explanation:

slope =  \frac{y2 - y1 }{x2 - x1}  \\  \frac{ - 5}{2}  =  \frac{ - 11 - k}{6 - ( - 2)}  \\  -  ( \frac{5}{2} ) =  - ( \frac{11 + k}{8} ) \\  \frac{5}{2}  =  \frac{11 + k}{8}  \\ 5  \times 8 = 2(11 + k) \\ 40 = 22 + 2k \\ k =  \frac{40 - 22}{2}  \\ k = 9

4 0
2 years ago
A,B,C,D what’s the correct answer
zzz [600]
Answer:

C. 16



Explanation:

You find 4/6 of 24

4/6 x 24 = 96

Then you divide 96 by 6

96/6 = 16

You can check your work by doing 16 x 6
7 0
3 years ago
Read 2 more answers
Roman has 2 red pencils in his backpack if this is 25% of the total number of pencils how many pencils are in his backpack. you
lys-0071 [83]
8 because 25% is 1/4 of how much he has so just multiply 2 by 4
3 0
3 years ago
Identify each of the following as rational or irrational.
Illusion [34]

Answer:A rational number can be written as a fraction of two integers. √23 is irrational because we do not know what the square root of 23 is in terms of integers in a fraction. 104.42 is rational because it can be expressed as 10442/100 . We can express it as this because.

Step-by-step explanation:

4 0
2 years ago
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