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Choose the best method for solving and solve. Show your work.
y=-2x+17
y=8-x

1 Answer

2 votes

Answer:

x =
-3; y = 11

Explanation:

These two equations are linear simultaneous equations. They can be solved either by substitution, elimination or graphical method:

Substitution:


y = 8 - x ------- (equation i)


y = 2x + 17 ---- (equation ii)

Substitute (equation i) into (equation ii):


8 - x = 2x + 17

Bring all the like terms together. In addition x has to be isolated and made the subject of the equation:


8 - 17 = 2x + x


-9 = 3x

x =
-(9)/(3)

x =
-3

Substitute this value of x in any of the equations to solve for y:


y = 8 - (-3)


y = 8 + 3

y = 11

This ordered pair of
(-3, 11) is a solution for both linear simultaneous equations. In addition, this particular pair is known as the 'point of intersection'.

User Emrullah
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