kitamoore54
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Solve the system of equations by graphing. Check the solution. y=-2x-3. y=2x+5. Graph each equation on the same coordinate plane. At what point do the graphs of the lines appear to intersect?​

Respuesta :

Answer:

[tex]\left \{ {{x=-2} \atop {y=1}} \right.[/tex]

Step-by-step explanation:

[tex]\left \{ {{y=-2x-3} \atop {y=2x+5}} \right.[/tex]

Substitute into one of the equations
[tex]-2x-3=2x+5[/tex]

Rearrange variables to the left side of the equation
[tex]-2x-2x=5+3[/tex]

Combine like terms
[tex]-4x=5+3[/tex]

Calculate the sum or difference
[tex]-4x=8[/tex]

Divide both sides of the equation by the coefficient of variable
[tex]x=-\frac{8}{4}[/tex]

Cross out the common factor
[tex]x=-2[/tex]

Substitute into one of the equations
[tex]y=-2\times\left(-2\right)-3[/tex]

Calculate
[tex]y=1[/tex]

The solution of the system is
[tex]\left \{ {{x=-2} \atop {y=1}} \right.[/tex]

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BasketballEinstein

Answer:

[tex]\displaystyle [-2, 1][/tex]

Step-by-step explanation:

Use the Elimination method sinse both coefficients in the system are OPPOCITES:

[tex]\displaystyle \left \{{{y = -2x - 3} \atop {y = 2x + 5}} \right.[/tex]

2y = 2; 1 = y [Plug this y-coordinate back into the system to get the x-coordinate of −2 (−2 = x).]

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