Solve the following system of equations -4x - 9y =24 7x + 3y =9

The solution is:

Step-by-step explanation:

We have the following equations

To solve the system multiply by 3 the second equation and add it to the first equation

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Now substitute the value of x in any of the two equations and solve for y

The solution is:

x = 3 and y = -4

Step-by-step explanation:

It is given that,

-4x - 9y = 24    (1)

7x + 3y = 9   ---(2)

To find the solution of given equations

eq(2) * 3 ⇒

21x + 9y  = 27 (3)

eq(1) + eq(3) ⇒

-4x  - 9y = 24    (1)

21x + 9y  = 27 (3)

17x = 51

x = 51/17 = 3

Substitute the value of x in eq(1)

-4x - 9y = 24    (1)

-4*3 - 9y = 24

-9y = 24 + 12

-9y = 36

y = 36/(-9) = -4

Therefore x = 3 and y = -4

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step-by-step explanation:

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)