A number is 4 less than twice another number. Represent the given info

1.	A number is 4 less than twice another number. Represent the given information in 3 the form of a linear equation in two variables. Find the value of the larger number if the smaller number is 6.
Answer» SOLUTION: X-4+2y=X+2y=4 x+2y=4 X/2+Y/3=8 6/1(X/2+y/3)=8 3x+2y=8 X+2y=4 Subtract ONE EQUATION from another 3x+2y=8 -(x+2y)=4 -x-2y=4 3x+2y=8 2x=4 X=2 put X in other equation to FIND y X-4+2y= 2-4+2y=4 —2+2y=-4 +2y = -2 Y=-1

A number is 4 less than twice another number. Represent the given information in 3 the form of a linear equation in two variables. Find the value of the larger number if the smaller number is 6.

Answer»

X-4+2y=X+2y=4

x+2y=4

X/2+Y/3=8

6/1(X/2+y/3)=8

3x+2y=8

X+2y=4

Subtract ONE EQUATION from another

3x+2y=8

-(x+2y)=4

-x-2y=4

3x+2y=8

2x=4

X=2

put X in other equation to FIND y

X-4+2y=

2-4+2y=4

—2+2y=-4

+2y = -2

Y=-1