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zimovet [89]
3 years ago
7

Y=x+2 2x-y=-4 Solve the systems of equations

Mathematics
2 answers:
Simora [160]3 years ago
6 0

Answer: x = -2, y = 0

Step-by-step explanation:

y=x+2\\2x-y=-4

Substitute y = x+2 in 2x-y=-4

Then we get, 2x-(x+2)=-4

2x-x-2=-4\\x-2=-4\\x=-4+2\\x=-2

Then substitute x = -2 in any equations, just only one equation. For me, I'd substitute x = -2 in y = x+2

y=-2+2y=0

So the answer is x = -2 and y = 0

larisa86 [58]3 years ago
4 0

Answer:

Step-by-step explanation:

Given that,

y=x+2 equation 1

2x-y=-4 equation 2

This is a simultaneous equation.

Substitute equation 1 into equation 2

2x-y=-4. Since y=x+2

2x-(x+2) = -4

2x-x-2 = -4

x-2 = -4

x = -4+2

x = -2

Also from equation 1

y=x+2

Since x=-2

y=-2+2

y=0

Then, solution (x, y) = (-2,0)

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FACTOR....<br>x^2 + 10× - 2400 = 0​
Vikki [24]

Answer:

x= -5 + 5\sqrt{97}, x= -5 - 5\sqrt{97}

Step-by-step explanation:

Since this quadratic is set to zero, we can use the quadratic formula to solve this.

x^2 + 10x - 2400 = 0​

Quadractic formula =  x= -b +- \sqrt{b^2 - 4ac} /2a

For this equation:

a= 1, b=10, c=-2400

Plug these numbers into the equation and solve.

x= -10 +- \sqrt{10^2 - 4(1)(-2400})/2(1)

x= -10 +- \sqrt{100 + 9,600}/2

x= -10 +- \sqrt{9,700}/2

x= -10 +- \sqrt{2^2 * 5^2 * 97}/2

x= -10 +- 5 * 2\sqrt{97}/2

x= -10 +- 10\sqrt{97} / 2

Divide by 2.

x= -5 +- 5\sqrt{97}

Answer:

x= -5 + 5\sqrt{97} or x= -5 - 5\sqrt{97}

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