X -y = 2
9x + 4y = 5

x=

y=

Answer

x= 1 , y = -1

Step by step

x -y = 2 (eqn 1)

9x + 4y = 5 (eqn 2)

Solve simultaneously using elimination method by multiplying eqn 2 by 4 to eliminate y.

x - y = 2 (eqn 1) × 4

4x - 4y = 8 (new eqn 1)

9x + 4y = 5 (eqn 2)

Add eqn 2 and new eqn 1  to eliminate y

4x + 9x - 4y + 4y = 8 + 5

13x = 13

Divide both sides by 13

13x/13 = 13/13

x = 1

Put x = 1 into eqn 1

x - y = 2

1 - y = 2

Subtract 1 from both sides

1 - 1 - y = 2 - 1

-y = 1

Divide both sides by -1

-y/-1 = 1/-1

y = -1

Therefore,

x = 1, y = -1

Checking

x - y = 2

1 - (-1) = 2

1 + 1 = 2

2 = 2

9x + 4y = 5

9(1) + 4(-1) = 5

9 - 4 = 5

5 = 5

Therefore x = 1, y = -1

I hope this was helpful, please rate as brainliest

fwms@lil_ben06

step-by-step explanation:

18 units²

step-by-step explanation:

first let's find altitude bd using the distance formula

d = √((y₂ - y₁)² + (x₂ - x₁)²)

bd = √((0 - -3)² + (0 - 3)²)

bd = √18

given the placement of points a and c, we can denote that point d bisects segment ac.

we will call ac the base.

using the distance formula

ac = √((0 - 6)² + (-6 - 0)²)

ac = √72

knowing our base and our height, we can plug these into our triangle area formula

area = (b * h)/2

area = (√18 * √72) / 2

area = (√1296) / 2

area = 36 / 2

area = 18 units²