Knowee
Questions
Features
Study Tools

An equivalent equation has been written by multiplying the second equation by 22.4xโˆ’9y=74๐‘ฅโˆ’9๐‘ฆ=7โ†’โ†’4xโˆ’9y=74๐‘ฅโˆ’9๐‘ฆ=72(โˆ’2x+3y=4)2(โˆ’2๐‘ฅ+3๐‘ฆ=4)โ†’โ†’โˆ’4x+6y=8โˆ’4๐‘ฅ+6๐‘ฆ=8What is the solution to the system?Responses(โˆ’5,โˆ’192)negative 5 comma negative 19 halves(โˆ’152,โˆ’113)negative 15 halves comma negative 11 thirds(โˆ’1910,ย 115)negative 19 tenths comma 1 fifteenth(โˆ’192,โˆ’5)

Question

An equivalent equation has been written by multiplying the second equation by 22.4xโˆ’9y=74๐‘ฅโˆ’9๐‘ฆ=7โ†’โ†’4xโˆ’9y=74๐‘ฅโˆ’9๐‘ฆ=72(โˆ’2x+3y=4)2(โˆ’2๐‘ฅ+3๐‘ฆ=4)โ†’โ†’โˆ’4x+6y=8โˆ’4๐‘ฅ+6๐‘ฆ=8What is the solution to the system?Responses(โˆ’5,โˆ’192)negative 5 comma negative 19 halves(โˆ’152,โˆ’113)negative 15 halves comma negative 11 thirds(โˆ’1910,ย 115)negative 19 tenths comma 1 fifteenth(โˆ’192,โˆ’5)

๐Ÿง Not the exact question you are looking for?Go ask a question

Solution

The given system of equations is:

4x - 9y = 7 -4x + 6y = 8

To solve this system of equations, we can use the method of addition (also known as the method of elimination). This method involves adding the two equations together in order to eliminate one of the variables.

Adding the two equations gives:

4x - 9y + -4x + 6y = 7 + 8 0x - 3y = 15 -3y = 15 y = 15 / -3 y = -5

Substitute y = -5 into the first equation:

4x - 9(-5) = 7 4x + 45 = 7 4x = 7 - 45 4x = -38 x = -38 / 4 x = -19/2

So, the solution to the system of equations is x = -19/2 and y = -5, which corresponds to the first option (-5, -19/2).

This problem has been solved

Similar Questions

What is the solution to the system of equations?y=5x+2๐‘ฆ=5๐‘ฅ+23x=โˆ’y+103๐‘ฅ=โˆ’๐‘ฆ+10Responses(7,ย 1)7 comma 1(1,ย 7)1 comma 7(โˆ’18,โˆ’4)negative 18 comma negative 4(โˆ’4,โˆ’18)

Which system has no solution?Responsesy=9x+6.25โˆ’18x+2y=12.5y is equal to 9 x plus 6 point 2 5; negative 18 x plus 2 y is equal to 12 point 5y=3x+9x+8y=12.3y is equal to 3 x plus 9; x plus 8 y is equal to 12 point 3y=4.5xโˆ’5โˆ’3x+2y=6y is equal to 4 point 5 x minus 5; negative 3 x plus 2 y is equal to 6y=โˆ’3x+86x+2y=โˆ’4.5

Instructions: Solve each system by substitution. Make sure to check your answer BEFORE submitting. State your answer as an ordered pair. DO NOT include spaces in your answer.System 1โˆ’2xโˆ’3y=โˆ’2โˆ’2๐‘ฅโˆ’3๐‘ฆ=โˆ’2ย y=2x+14๐‘ฆ=2๐‘ฅ+14(( ,, ))System 2โˆ’3xโˆ’3y=9โˆ’3๐‘ฅโˆ’3๐‘ฆ=9ย y=4๐‘ฆ=4(( ,, )

Instructions: Solve each system by substitution. Make sure to check your answer BEFORE submitting. State your answer as an ordered pair. DO NOT include spaces in your answer.System 1y=โˆ’5x+13๐‘ฆ=โˆ’5๐‘ฅ+13y=โˆ’2x+7๐‘ฆ=โˆ’2๐‘ฅ+7(( ,, ))System 2y=โˆ’4xโˆ’12๐‘ฆ=โˆ’4๐‘ฅโˆ’12y=7x+21๐‘ฆ=7๐‘ฅ+21(( ,, )

What is the solution to the system of equations?y=12xโˆ’6๐‘ฆ=12๐‘ฅโˆ’6x=โˆ’4๐‘ฅ=โˆ’4Responses(โˆ’8,โˆ’4)negative 8 comma negative 4(4,โˆ’4)4 comma negative 4(โˆ’4,โˆ’8)negative 4 comma negative 8(โˆ’4,ย 4)

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.