SOLUTION: solve the simultaneous equations: y=x^2+2x+9 7x+y=19 please show me how u solve it. thank you!

Question 46819: solve the simultaneous equations:
y=x^2+2x+9
7x+y=19
please show me how u solve it. thank you!
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Solve the simultaneous equations (aka: System of equations):
1)
2)
You can solve this system of equations (aka: Simultaneous equations) by the "susbtitution" method.
Substitute equation 1) into equation 2) for y and solve for x.
Simplify and solve for x.
Subtract 19 from both sides of the equation.
Solve this quadratic equation by factoring.
Apply the zero products principle.
and/or
If then
If then
Now, to find the value of y, substitute the values of x, one-at-a-time into either of the two original equations and solve for y. Let's take the first equation and substitute x = 1 then solve for y.

So one of the solutions is: x = 1, y = 12 or (1,12)
Just as a check, you can see that, had we substituted x = 1 into the second equation, we would have obtained the same result.
Subtact 7 from both sides.
Same as before.
Now to get the second solution, substitute x = -10 into the first equation and solve for y.

Now let's try using the second equation.

Add 70 to both sides.
Same as before.
The second solution is: x = -10, y = 89 or (-10, 89}

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