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vaieri [72.5K]
2 years ago
10

Can someone please help me​

Mathematics
1 answer:
Sonja [21]2 years ago
5 0

Answer:

(7,9)

Step-by-step explanation:

7x - 8y = -23

7x - 7y = -14

Solve the equation for 7x

7x - 8y = -23

7x = -14 + 7y

Substitute the given value of 7x into the equation 7x - 8y = -23

-14 + 7y - 8y = -23

solve the equation for y

y = 9

substitute the given value of y into the equation 7x = -14 + 7y

7x = -14 + 7(9)

solve the equation for x

x = 7

<u>(7,9)</u>

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Simora [160]

The standard form of a quadratic equation is ,

ax² + bx + c = 0.

And the formula to find the discriminant is b² - 4ac.

Here the first step is to change the given equation into standard form. So, add 1 to each sides of the equation. Therefore,

2x² – 9x + 2+1 = –1 + 1

2x² – 9x + 3 = 0

Next step is to compare the given equation with this equation to get the value of a, b and c.

After comparing the equations we will get a = 2, b = -9 and c = 3.

So, discriminant = b²- 4ac

=( -9)²-4 (2)(3)

= 81 - 24

= 57

So, discriminant of the given equation is 57.

57 is greater than 0 and square root of 57 will result real number.

So, the correct choice is C: The discriminant is greater than 0, so there are two real roots.

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