Graph the line using the slope and the y-intercept, or the points. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.

How do you determine the solution in terms of a system of linear equations for x2 +y2 = 13 , 2x−3y = −6 ? Solutions are \displaystyle {x}=\frac { {- {12}+ {3}\sqrt { { {133}}}}} { {13}} , \displaystyle {y}=\frac { { {18}+ {2}\sqrt { { {133}}}}} { {13}} and \displaystyle {x}=\frac { {- {12}- {3}\sqrt { { {133}}}}} { {13}} ...

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Subtract 2x 2 x from both sides of the equation. Divide each term in −3y = 6−2x - 3 y = 6 - 2 x by −3 - 3 and simplify. Tap for more steps... Dividing two negative values results in a positive value.

Because the coefficients of x and y evenly divide the constant coefficient 6, this line can be quickly graphed using intercepts that do have integer coordinates! See the table below for the points (black on the graph). Explore math with our beautiful, free online graphing calculator.

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Oct 27, 2024 · To solve the equation 2 x − 3 y = 6 for x in terms of y, follow these steps: Isolate x: Start with the equation: 2 x − 3 y = 6. To solve for x, first move the term with y to the right side of the equation: 2 x = 3 y + 6. Divide by the coefficient of x: Next, divide every term by 2 to isolate x: x = 2 3 y + 2 6 Simplify the right side: x = 2 ...

y=x^2+1 (Graph Example), 4x+2=2(x+6) (Solve Example) Algebra Calculator is a calculator that gives step-by-step help on algebra problems. See More Examples »

x^{2}-x-6=0 -x+3\gt 2x+1 ; line\:(1,\:2),\:(3,\:1) f(x)=x^3 ; prove\:\tan^2(x)-\sin^2(x)=\tan^2(x)\sin^2(x) \frac{d}{dx}(\frac{3x+9}{2-x}) (\sin^2(\theta))' \sin(120)

Using the slope-intercept form, the slope is 2 3 2 3. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.