Question

y=−7x+3 y=−x−3 ​
Find the solution to the system of equations.

Answer 1

Answer:

(x,y)=(1,-4)

Step-by-step explanation:

y=−7x+3

y=−x−3 ​

(y=) −7x+3=−x−3 ​

-7x+x=-3-3

-6x=-6

x=-6/(-6)

x=1

y=-7*1+3=-7+3=-4

(x,y)=(1,-4)

Answer 2

Answer:

$(x,y)= (1,-4)$

Step-by-step explanation:

We will solve it using the substitution method

Using Substitution method

Let $y = -7x + 3$ be equation 1 and $y = -x - 3$ be equation 2

putting value of y from equation 1 in equation 2 and further simplifying:

we get

$-7x +3 = -x - 3\\-7x + x = -3 -3\\-6x =-6\\\\6x=6x\\x= 1$

Now put value of x i.e. $x=1$ in equation 1 and by further simplifying

$y = -7x + 3\\y= -7(1) +3\\y= -7+3\\y=-4$

So the solution to the system is written as\$(x,y)= (1,-4)$