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Algebra - Solving Simultaneous Equations Graphically Questions

  a - answer    s - solution    v - video    d - discussion

Question 1


Find the point of intersection for the following graphs

a)  a s v d

b)  a s v d

c)  a s v d

d)  a s v d



Question 2


Find the solution to the following pair of equations. Use the graphs to find this.

a) $y=x-3$ and $y=-x+5$

 a s v d

b) $y=5x+2$ and $y=x+6$

 a s v d

c) $y=2x+6$ and $y=\frac12x+3$

 a s v d

d) $2x+3y=0$ and $x+y=2$

 a s v d



Question 3


Use the given graphs to solve the following equations


a) $y=x$ and $y=4x+6$  a s v d
b) $y=x$ and $y=-2x+6$  a s v d
c) $y=4x+6$ and $y=-2x+6$  a s v d


Question 4


Solve these simultaneous equations graphically

a) $y=2x$ and $y=x+1$  a s v d
b) $y=2x-2$ and $y=\frac12x+1$  a s v d
c) $y=-x+3$ and $y=4x+8$  a s v d
d) $y=-2x+5$ and $y=-x-1$  a s v d


Question 5


Answer the following

a) Graph $y=2x+6$ and $x-\frac12y=0$ on the same number plane  a s v d

b) Will solutions be obtained if the equations $y=2x+6$ and $x-\frac12y=0$ are solved simultaneously? Why?  a s v d



Question 6


Solve these simultaneous equations graphically

a) $x+y=0$ and $y=x+2$  a s v d
b) $x+3y=6$ and $2x-y+2=0$  a s v d
c) $4x-y-7=0$ and $3x+4y-10=0$  a s v d
d) $2x+5y-9=0$ and $5x+9y-12=0$  a s v d


Question 7


Solve these simultaneous equations graphically. Round your answers to $1$ decimal place.

a) $y=-5x-2$ and $y=\frac13x+4$  a s v d
b) $2x-5y-1=0$ and $3x+y=-4$  a s v d