Simultaneous equations

 $Solve:\ x+y=7\ ;\ x-y=5$  

•  $\left(6,1\right)$  

•  $\left(1,6\right)$  

•  $\left(2,1\right)$  

•  $\left(-6,-1\right)$  

Tags

CCSS.HSA.REI.C.6

 $Solve:\ \ 3x-2y=5;\ \ 2y-5x=9$  

•  $\left(-13,-7\right)$  

•  $\left(8,7\right)$  

•  $\left(7,8\right)$  

•  $\left(-7,-13\right)$  

Tags

CCSS.HSA.REI.C.6

 $Solve:\ 3x-y=23\ ;\ \frac{x}{3}+\frac{y}{4}=4$  

•  $x=\frac{21}{13},\ y=\frac{236}{13}$  

•  $x=\frac{73}{13},y=\ \frac{80}{13}$  

•  $x=-9,y=4$  

•  $x=9,\ y=4$  

Tags

CCSS.HSA.REI.C.6

 $Solve\ :\ 5x+7y-17=0;\ 7y+3x-27=0$  

•  $x=5,y=\frac{5}{2}$  

•  $x=-5,\ y=6$  

•  $x=5\ ,\ y\ =-\ 6$  

•  $x=6\ ,\ y=-5$  

Tags

CCSS.HSA.REI.C.6

 $Solve:\ \ \ \frac{x-3}{5}=\frac{y-7}{2}\ ;\ \ 11x=13y$  

•  $x=13\ ,\ y=\ 11$  

•  $x=-13,\ y=-11$  

•  $\ \ x=10.9,\ y=\ 9.2$  

•  $x=10.9\ ,\ y=-9.4$  

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

 $\frac{1}{3}\left(x+y\right)=\frac{1}{5}\left(x-y\right)\ ;\ 3x+11y=4$  

•  $x=\frac{1}{4},\ y=\ \frac{1}{3}$  

•  $x=-16\ ,\ y=\ -4$  

•  $x=16\ ,\ y=-4$  

•  $x=\frac{1}{4},\ y=\ -\frac{1}{3}$  

Tags

CCSS.HSA.REI.C.6

 $4\left(2x-y+3\right)=0;\ 2\left(x+y\right)-3\left(x-y\right)=6$  

•  $x=-\frac{3}{4},\ y=0$  

•  $x=1,\ y=1$  

•  $x=1,\ y=-1$  

•  $x=-1,\ y=1$  

Tags

CCSS.HSA.REI.C.6

If twice the age of son is added to age of father, the sum is 56. But if twice the age of the father is added to the age of son, the sum is 82. Form the equations only.

• $y+x=56\ ;\ x+2y=82$

• $2\left(y+x\right)=56\ ;\ 2\left(x+y\right)=82$

• $2y+2x=56\ ;\ 2x+2y=82$

• $2y+x=56\ ;\ 2x+y=82$

Tags

CCSS.HSA.CED.A.2

Tom is 28 years older than his son Den, who will be x years old in y years' time. What is the Tom's present age ?

•  $x+y+28$  

•  $x+y−28$  

•  $x−y+28$  

•  $y−x+28$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.4

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.B.3

Adam is 4 years younger than Betty. Charles is 3 years older than Betty. If the sum of their ages is 41. Write an expression for the sum of their ages?

• $7x=41$

• $8x=41$

• $3x-1=41$

• $7x-1=41$

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.B.3