What is the point of intersection of x+y=9 and x-y=-5
A. (2,7)
B. (2,-7)
C. (3,6)
D. (3,-6)
sana masagot nyo:)
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What is the point of intersection of x+y=9 and x-y=-5
A. (2,7)
B. (2,-7)
C. (3,6)
D. (3,-6)
sana masagot nyo:)
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Answer:
A. (2,7)
Step-by-step explanation:
FIRST, make the 2 equations into Slope form y=mx+b
A.) x+y=9
y=-x+9
B.) x-y=-5
-y= -x-5
(-y=-x-5) - 1 - > we multiplied -1 pra maging posituve ung y
y= x+5
NEXT, make the 2 equations your y and solve for x
-x+9=x+5
-x-x=5-9
-2x= -4 - - > divide both by - 2 pra x nlng matira
x=2
LASTLY, find the value of y
Use the original equations and the value of x=2
For the 1st equation:
x+y=9
2+y=9
y=9-2
y=7
2nd equation nmn:
x-y= -5
2-y= -5
-y= -5-2
-y= -7
(-y=-7) -1
y=7
Our solved values
x=2
y=7
Therefore, both equations intersect at point (2,7)
Correct me if I'm wrong po.