Question

Find the solution to the system of equations.

Answer 1

Answer:

$x=1\\y=-4$

Step-by-step explanation:

The System of equations is:

$\left \{ {{y=-7x+3} \atop {y=-7x+3}} \right.$

In order to solve the system of equations you need to find the value of the variable "x" and the value of the variable "y".

Then, you can follow the steps shown below:

Step 1. You can use the Equalization methods. Make $y=y$. Then:

$y=y\\\\-7x+3=-x-3$

Step 2. You must solve for the variable "x" in order to find its value. This is:

$3+3=-x+7x\\\\6=6x\\\\\frac{6}{6} =x\\\\x=1$

Step 3. SUbstitute the value of "x" into any original equation:

$y=-x-3 \\\\y=-(1)-3$

Step 4. Evaluating, you get that "y" is:

$y=-1-3\\\\y=-4$

Answer 2

x=1

y=−4

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When we graph the two lines, we can see that they intersect at (1,−4).Therefore, this is the solution of the system: