Question

Solve the system of equations by graphing. [x+y=4 7x-6y=54​

Answer 1

Answer:

(x,y)=(6,-2)

Step-by-step explanation:

to understand this

you need to know about:

• linear equation
• system of linear equation
• solving system of linear equation by graphing
• PEMDAS

given:

• $\begin{cases} \sf x + y = 4 \\ \sf7x - 6y = 54 \end{cases}$

tips and formulas:

• to solve system of linear equation by graphing we have to simplify the linear equations to slope-intercept form
• slope intercept form:y=mx+b

let's solve:

let's simplify first linear equation to slope -intercept form

x+y=4

y=-x+4

table for this equation

see the first attachment picture

let's simplify first linear equation to slope -intercept form

$\sf7x - 6y = 54$

$\sf - 6y = - 7x + 54 \\ \sf \frac{ - 6y}{ - 6} = \frac{ - 7}{ - 6} x + \frac{54}{ - 6} \\ \sf y = \frac{7}{6} x - 9$

table for this equation

see the second attached picture

solutions by graphing the system of linear equation

see the last attached picture

note: the red line is for first equation as well as the green line is for second equation and the black dot is the coordinates of the solutions of x and y