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22 votes
Which of the following linear systems has a solution
(5,0)
SOMEONE PLS HELPPP

User Anto S
by
4.6k points

2 Answers

3 votes
D is the answer. Have a nice day
User Cynichniy Bandera
by
4.8k points
6 votes

Answer:

D

Explanation:

out of the choices

A) 2x-y=-2

3x+2y=-10

B) x+4y=3

2x+5y=3

C) 2x+3y=5

x-4y=-14

D) 3x+4y=15

x+y=5

only the system in D has a solution of x=5 and y=0

solve by substitution x+y=5 so x=5-y

plug into the other equation so 3(5-y)+4y=15

distribute 15-3y+4y=15 then minus 15 on both sides and combine like terms

so y=0 then put that value back into the other equation

so x+y=5 equals x+0=5 so x=5 this means the solution to the system of equations is the point (5,0)

Hope this helps! :)

User Minghua
by
5.3k points