josselynestrada18 josselynestrada18
  • 03-12-2020
  • Mathematics
contestada

Solve the system of equations by substitution.

3x+y = 10
7x+ 2y= 24

A. (2,4)
B. (2,-6)
C. (4,-2)
D. (2,-4)

If you can, explain step by step please :)

Respuesta :

joaena
joaena joaena
  • 03-12-2020

Answer:

C

Step-by-step explanation:

3x+y=10---(1)

7x+2y=24---(2)

From(1)

3x+y=10

y=10-3x---(3)

Substitute(3)into(2)

7x+2y=24

7x+2(10-3x)=24

7x+20-6x=24

x+20=24

x=24-20

x=4

Substitute x=4 into (1)

3x+y=10

3(4)+y=10

12+y=10

y=10-12

y=-2

Answer Link

Otras preguntas

can someone please help me with this question?
What is the simplified form of x minus 2 over x squared plus x minus 6divided byx squared plus 5x plus 4 over x plus 4?
Rewrite the following paragraph, adding adjectives to describe the three things you’d like to buy. When I have enough money, there are three things I’d like to
What is the difference between a muscle sprain and strain? (Explain.)
2. All of the following are true regarding alcoholic fermentation, except that alcoholic fermentation A. produces ethanol. B. uses glycolysis. C.
The function m(g) provides the number of miles a car can travel on g gallons of gas. The fuel tank holds 14 gallons which allows a maximum ride of 504 miles.
How do you evaluate expressions
If a street has a central lane bordered by solid yellow and broken yellow lines, you ________________. A. must use it when you turn left B. may use of this
What factors led to increased urbanization
Question 3 (5 points) What process takes place before decontamination? Question 3 options: Cleaning Sterilization Soaking Rinsing with normal saline Question