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 :)

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

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

source

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.