The table below shows four systems of equations: system 1 4x − 5y = 2 3x − y = 8 system 2 4x − 5y = 2 10x − 7y = 18 system 3 4x − 5y = 2 3x − 8y = 4 system 4 4x − 5y = 2 10x + 3y = 15 which pair of systems will have the same solution? a. system 1 and system 2, because the second equation in system 2 is obtained by adding the first equation in system 1 to two times the second equation in system 1 b. system 2 and system 3, because the second equation in system 3 is obtained by adding the first equation in system 2 to two times the second equation in system 2 c. system 1 and system 2, because the second equation in system 2 is obtained by adding the first equation in system 1 to three times the second equation in system 1 d. system 2 and system 3, because the second equation in system 3 is obtained by adding the first equation in system 2 to three times the second equation in system 2

Solving System 1 
4x − 5y = 2 → eq.1
3x − y = 8   → eq.2

Rearranging both equations:
y = 4/5 x - 2/5 → eq.1
y = 3 x - 8        → eq.2

Graphing both the equations.
Solution set : (x,y)→(3.455,2.634)

Solving System 2
4x − 5y = 2      →eq.1
10x − 7y = 18   →eq.2

Rearranging both equations:
y = 4/5 x - 2/5            → eq.1
y = 10/7 x - 18/10        → eq.2

Graphing both the equations.
Solution set : (x,y)→(3.455,2.634)

Solving System 3
4x − 5y = 2    → eq.1
3x − 8y = 4    →eq.2

Rearranging both equations:
y = 4/5 x - 2/5            → eq.1
y = 3/8 x - 4/8            → eq.2

Graphing both the equations.
Solution set : (x,y)→(-0.235,-0.588)

Solving System 4
4x − 5y = 2            → eq.1
10x + 3y = 15          → eq.2

Rearranging both equations:
y = 4/5 x - 2/5            → eq.1
y = -10/3 x + 5            → eq.2

Graphing both the equations.
Solution set : (x,y)→(1.306,0.645)

Therefore, the best answer choice is:
A. System 1 and system 2, because the second equation in system 2 is obtained by adding the first equation in system 1 to two times the second equation in system 1

141 1/4

Step-by-step explanation:

You are looking for TOTAL change, thus, both values will be positive. In order to add both fractions, you need to convert the denominator for 90 1/2 into a 4. This becomes 90 2/4.

Now add both mixed fractions.

3/4 + 2/4 = 1 1/4

90 + 50 = 140

140 + 1 1/4 = 141 1/4