Question

draw the graph of the following equations and check whether (a) x=2, y=5 (b) x=-1,y=3 are solution of 2x+5y=13

Answer 1

Answer:

b

Step-by-step explanation:

plug in each x and y term into the original equation

2(2)+5(5)=13

4+25=13

29=13 is not equivilant

2(-1)+5(3)=13

-2+15=13

13=13 is equivilant

Answer 2

As for the graph, plot the following points on the graph paper and join those points. The line hence obtained will be the graph of the equation.

The equation is: 2x+5y=13

(1) Substituting y by 1, we have:

2x+5(1)=13

=>2x+5=13

=> 2x=13-5=8

=> x=8/2=4

Thus, (4,1) is a solution of the equation.

(2) Substituting x by -1, we have:

2(-1)+5y=13

=> 5y-2=13

=> 5y=13+2=15

=>y=15/5=3

Thus, (-1,3) is a solution of the equation.

(3) Substituting x by -4, we have:

2(-4)+5y=13

=> 5y-8=13

=> 5y = 13+8 = 25

=> y=25/5=5

Thus, (-4,5) is a solution of the equation.

(a) From the graph, it can be interpreted that x=2, y=5 doesn't lie on the graph.

(b) Also, x=-1 and y=3 lies on the graph.